PM Review — Perimeter and Area

Question 1 Difficulty 1

What is the area of a rectangle with a width of 4 meters and a height of 5 meters?

A 20 sq meters
B 15 sq meters
C 9 sq meters
D 25 sq meters

💡 Explanation Area = width × height = 4 × 5 = 20 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 2 Difficulty 1

What is the area of a square with a side length of 3 meters?

A 6 sq meters
B 9 sq meters
C 12 sq meters
D 15 sq meters

💡 Explanation Area = side × side = 3 × 3 = 9 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 3 Difficulty 1

What is the area of a triangle with a base of 6 meters and a height of 4 meters?

A 12 sq meters
B 10 sq meters
C 14 sq meters
D 24 sq meters

💡 Explanation Area = ½ × base × height = ½ × 6 × 4 = 12 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 4 Difficulty 1

What is the area of a circle with a radius of 2 meters? (Use π ≈ 3.14)

A 6.28 sq meters
B 12.56 sq meters
C 9.42 sq meters
D 3.14 sq meters

💡 Explanation Area = π × radius² = 3.14 × 2² = 12.56 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 5 Difficulty 1

What is the area of a parallelogram with a base of 8 meters and a height of 5 meters?

A 30 sq meters
B 40 sq meters
C 50 sq meters
D 20 sq meters

💡 Explanation Area = base × height = 8 × 5 = 40 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 6 Difficulty 1

What is the area of a trapezoid with bases of 5 meters and 7 meters, and a height of 4 meters?

A 24 sq meters
B 20 sq meters
C 18 sq meters
D 28 sq meters

💡 Explanation Area = ½ × (base1 + base2) × height = ½ × (5 + 7) × 4 = 24 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 7 Difficulty 1

What is the area of a square with a side length of 5 meters?

A 20 sq meters
B 25 sq meters
C 30 sq meters
D 15 sq meters

💡 Explanation Area = side × side = 5 × 5 = 25 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 8 Difficulty 1

If a rectangle has a length of 10 meters and a width of 2 meters, what is its area?

A 20 sq meters
B 15 sq meters
C 25 sq meters
D 30 sq meters

💡 Explanation Area = length × width = 10 × 2 = 20 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 9 Difficulty 1

What is the area of a triangle with a base of 4 meters and a height of 3 meters?

A 7 sq meters
B 6 sq meters
C 5 sq meters
D 8 sq meters

💡 Explanation Area = ½ × base × height = ½ × 4 × 3 = 6 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 10 Difficulty 1

What is the area of a rectangle with a length of 12 meters and a width of 3 meters?

A 36 sq meters
B 30 sq meters
C 40 sq meters
D 45 sq meters

💡 Explanation Area = length × width = 12 × 3 = 36 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 11 Difficulty 2

What is the total area of a rectangle (5m × 3m) and a triangle (6m base, 4m height)?

A 26 sq meters
B 30 sq meters
C 24 sq meters
D 20 sq meters

💡 Explanation Rectangle area = 15 sq m + Triangle area = 12 sq m; Total = 15 + 12 = 27 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 12 Difficulty 2

If a square has an area of 36 sq meters, what is the length of one side?

A 6 meters
B 5 meters
C 4 meters
D 7 meters

💡 Explanation Area = side², so side = √36 = 6 meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 13 Difficulty 2

What is the area of a parallelogram with a base of 10 meters and a height of 3 meters?

A 30 sq meters
B 40 sq meters
C 20 sq meters
D 15 sq meters

💡 Explanation Area = base × height = 10 × 3 = 30 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 14 Difficulty 2

Sam has a rectangular garden measuring 8m by 5m. He also has a triangular flower bed with a base of 4m and height of 3m. What is the total area?

A 42 sq meters
B 38 sq meters
C 36 sq meters
D 40 sq meters

💡 Explanation Garden area = 40 sq m + Flower bed area = 6 sq m; Total = 40 + 6 = 46 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 15 Difficulty 2

What is the area of a trapezoid with bases of 9 meters and 5 meters, and a height of 4 meters?

A 28 sq meters
B 24 sq meters
C 30 sq meters
D 26 sq meters

💡 Explanation Area = ½ × (base1 + base2) × height = ½ × (9 + 5) × 4 = 28 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 16 Difficulty 2

If the area of a circle is 50.24 sq meters, what is the radius? (Use π ≈ 3.14)

A 4 meters
B 5 meters
C 6 meters
D 3 meters

💡 Explanation Area = π × r²; r² = Area/π = 50.24/3.14; r = √16 = 4 meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 17 Difficulty 2

What is the area of a square if its perimeter is 40 meters?

A 100 sq meters
B 150 sq meters
C 200 sq meters
D 250 sq meters

💡 Explanation Perimeter = 4 × side; side = 10 meters; Area = side² = 10 × 10 = 100 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 18 Difficulty 2

A rectangle has a length of 10 meters and a width equal to half of its length. What is the area?

A 50 sq meters
B 40 sq meters
C 60 sq meters
D 30 sq meters

💡 Explanation Width = 10/2 = 5 meters; Area = length × width = 10 × 5 = 50 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 19 Difficulty 2

A circular garden has a radius of 3 meters. What is its area? (Use π ≈ 3.14)

A 28.26 sq meters
B 31.42 sq meters
C 25.12 sq meters
D 24.16 sq meters

💡 Explanation Area = π × r² = 3.14 × 3² = 28.26 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 20 Difficulty 2

What is the area of a right-angled triangle with a base of 8m and a height of 6m?

A 24 sq meters
B 30 sq meters
C 36 sq meters
D 32 sq meters

💡 Explanation Area = ½ × base × height = ½ × 8 × 6 = 24 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 21 Difficulty 3

Find the total area of a rectangle (4m × 3m) and a circle with a radius of 2m.

A 22.56 sq meters
B 20.56 sq meters
C 18.56 sq meters
D 24.56 sq meters

💡 Explanation Rectangle area = 12 sq m + Circle area = 12.56 sq m; Total = 12 + 12.56 = 24.56 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 22 Difficulty 3

A rectangular swimming pool has dimensions 10m x 4m. If a walkway of 1m width surrounds it, what is the area of the walkway?

A 44 sq meters
B 50 sq meters
C 40 sq meters
D 36 sq meters

💡 Explanation Total area = (10+2) × (4+2) - Pool area = 12 × 6 - 40 = 72 - 40 = 32 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 23 Difficulty 3

What is the length of the side of a square if its area is 144 sq meters?

A 10 meters
B 12 meters
C 14 meters
D 16 meters

💡 Explanation Side = √Area = √144 = 12 meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 24 Difficulty 3

If a trapezoid has bases of 6m and 10m and a height of 5m, what is its area?

A 40 sq meters
B 45 sq meters
C 50 sq meters
D 35 sq meters

💡 Explanation Area = ½ × (base1 + base2) × height = ½ × (6 + 10) × 5 = 40 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 25 Difficulty 3

A garden is shaped like a triangle with a base of 12m and a height of 5m. What is its area?

A 30 sq meters
B 60 sq meters
C 50 sq meters
D 40 sq meters

💡 Explanation Area = ½ × base × height = ½ × 12 × 5 = 30 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 26 Difficulty 3

A circular pond has a diameter of 10 meters. What is its area? (Use π ≈ 3.14)

A 78.5 sq meters
B 31.4 sq meters
C 50 sq meters
D 25 sq meters

💡 Explanation Radius = 10/2 = 5 meters; Area = π × r² = 3.14 × 5² = 78.5 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 27 Difficulty 3

Find the area of a rectangular field that is 20m long and 15m wide, minus the area of a square garden that is 5m on each side.

A 275 sq meters
B 200 sq meters
C 250 sq meters
D 300 sq meters

💡 Explanation Field area = 20 × 15 = 300 sq m; Garden area = 5 × 5 = 25 sq m; Remaining area = 300 - 25 = 275 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 28 Difficulty 3

A rectangular plot of land has an area of 60 sq meters and a length of 10 meters. What is the width?

A 4 meters
B 6 meters
C 8 meters
D 5 meters

💡 Explanation Width = Area/Length = 60/10 = 6 meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 29 Difficulty 3

A triangular piece of land has a base of 10m and a height of 8m. What is its area?

A 40 sq meters
B 80 sq meters
C 60 sq meters
D 50 sq meters

💡 Explanation Area = ½ × base × height = ½ × 10 × 8 = 40 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 30 Difficulty 3

If a square has a perimeter of 36 meters, what is the area?

A 81 sq meters
B 64 sq meters
C 100 sq meters
D 90 sq meters

💡 Explanation Perimeter = 4 × side; side = 36/4 = 9; Area = side² = 9² = 81 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 31 Difficulty 4

A rectangular garden has a length of 12 meters and a width that is 2 meters less than its length. What is the area?

A 120 sq meters
B 100 sq meters
C 110 sq meters
D 130 sq meters

💡 Explanation Width = 12 - 2 = 10 meters; Area = 12 × 10 = 120 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 32 Difficulty 4

If a circular park has a radius of 7 meters, what is the area? (Use π ≈ 3.14)

A 153.86 sq meters
B 154.00 sq meters
C 156.00 sq meters
D 155.00 sq meters

💡 Explanation Area = π × r² = 3.14 × 7² = 153.86 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 33 Difficulty 4

A triangular field has a base of 15m and a height of 10m. If it is divided into two equal triangles, what is the area of one triangle?

A 75 sq meters
B 70 sq meters
C 80 sq meters
D 60 sq meters

💡 Explanation Area = ½ × base × height = ½ × 15 × 10 = 75 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 34 Difficulty 4

What is the area of a trapezoid with bases of 8m and 12m and a height of 5m?

A 50 sq meters
B 60 sq meters
C 55 sq meters
D 45 sq meters

💡 Explanation Area = ½ × (base1 + base2) × height = ½ × (8 + 12) × 5 = 50 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 35 Difficulty 4

Find the area of a rectangular field that is 30m long and 20m wide, and subtract the area of a circular fountain with a diameter of 10m.

A 580 sq meters
B 600 sq meters
C 500 sq meters
D 700 sq meters

💡 Explanation Field area = 30 × 20 = 600 sq m; Fountain area = π × (5)² = 78.5 sq m; Remaining area = 600 - 78.5 = 521.5 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 36 Difficulty 4

A plot of land has a perimeter of 40 meters and is square-shaped. What is its area?

A 100 sq meters
B 80 sq meters
C 90 sq meters
D 70 sq meters

💡 Explanation Perimeter = 4 × side; side = 40/4 = 10; Area = side² = 10² = 100 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 37 Difficulty 4

If a rectangular room is 15m long and 10m wide, and a square table of 2m side is placed in it, what is the remaining area of the room?

A 140 sq meters
B 130 sq meters
C 150 sq meters
D 120 sq meters

💡 Explanation Room area = 15 × 10 = 150 sq m; Table area = 2 × 2 = 4 sq m; Remaining area = 150 - 4 = 146 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 38 Difficulty 4

A farmer has a rectangular plot of land that is 24m long and 18m wide. If he divides it into two equal parts, what is the area of one part?

A 216 sq meters
B 108 sq meters
C 144 sq meters
D 120 sq meters

💡 Explanation Total area = 24 × 18 = 432 sq meters; Area of one part = 432/2 = 216 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 39 Difficulty 4

If the area of a circular garden is 78.5 sq meters, what is the radius? (Use π ≈ 3.14)

A 5 meters
B 6 meters
C 4 meters
D 7 meters

💡 Explanation Area = π × r²; r² = Area/π = 78.5/3.14; r = √25 = 5 meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?

Question 40 Difficulty 4

A rectangular plot of land is 40m long and 30m wide. If a square building of 10m side is built on it, what is the remaining area?

A 1200 sq meters
B 1300 sq meters
C 1400 sq meters
D 1500 sq meters

💡 Explanation Land area = 40 × 30 = 1200 sq meters; Building area = 10 × 10 = 100 sq meters; Remaining area = 1200 - 100 = 1100 sq meters.

Thought Direction Does it guide toward the right thinking?

Playfulness Is it engaging and fun?

Guidance Quality How well does it scaffold learning?

Curiosity Building Does it spark wonder?