PM Review — Perimeter and Area

Question 1 Difficulty 1

What is the formula to calculate the area of a rectangle?

A length + width
B length × width
C length - width
D 2 × (length + width)

💡 Explanation The area of a rectangle is calculated using the formula Area = length × width.

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

If a square has a side length of 5m, what is its area?

A 10m²
B 20m²
C 25m²
D 30m²

💡 Explanation The area of a square is calculated using the formula Area = side × side. Here, Area = 5m × 5m = 25m².

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 4m and height of 3m?

A 6m²
B 12m²
C 9m²
D 8m²

💡 Explanation The area of a triangle is calculated using the formula Area = ½ × base × height. Here, Area = ½ × 4m × 3m = 6m².

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

How do you calculate the area of a circle?

A π × diameter
B π × radius
C π × radius²
D 2 × π × radius

💡 Explanation The area of a circle is calculated using the formula Area = π × radius².

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 square with a side of 6cm?

A 12cm²
B 24cm²
C 36cm²
D 48cm²

💡 Explanation The area of a square is calculated using the formula Area = side × side. Here, Area = 6cm × 6cm = 36cm².

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

If a rectangle has a length of 8m and a width of 2m, what is its area?

A 10m²
B 16m²
C 12m²
D 20m²

💡 Explanation The area of the rectangle is calculated as Area = length × width = 8m × 2m = 16m².

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

How do you find the area of a parallelogram?

A base × height
B base + height
C (base × height) ÷ 2
D 2 × (base + height)

💡 Explanation The area of a parallelogram is calculated using the formula Area = base × height.

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

What is the area of a triangle with a base of 10m and height of 5m?

A 15m²
B 25m²
C 30m²
D 20m²

💡 Explanation The area of the triangle is calculated as Area = ½ × base × height = ½ × 10m × 5m = 25m².

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

If a circle has a radius of 4m, what is its area (use π ≈ 3.14)?

A 25.12m²
B 50.24m²
C 12.56m²
D 31.36m²

💡 Explanation The area of the circle is calculated as Area = π × radius² = 3.14 × (4m)² = 3.14 × 16 = 50.24m².

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 that is 12m long and 4m wide?

A 16m²
B 48m²
C 36m²
D 24m²

💡 Explanation The area of the rectangle is calculated as Area = length × width = 12m × 4m = 48m².

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

A rectangular field is 30m long and 20m wide. What is its area?

A 600m²
B 500m²
C 700m²
D 450m²

💡 Explanation The area is calculated as Area = length × width = 30m × 20m = 600m².

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

What is the area of a square with a side length of 8m?

A 32m²
B 64m²
C 48m²
D 80m²

💡 Explanation The area is calculated as Area = side × side = 8m × 8m = 64m².

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

Calculate the area of a triangle with a base of 9m and a height of 4m.

A 18m²
B 24m²
C 36m²
D 12m²

💡 Explanation The area is calculated as Area = ½ × base × height = ½ × 9m × 4m = 18m².

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

What is the area of a circle with a radius of 5m (use π ≈ 3.14)?

A 25m²
B 78.5m²
C 31.4m²
D 15.7m²

💡 Explanation The area is calculated as Area = π × radius² = 3.14 × (5m)² = 3.14 × 25 = 78.5m².

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

If a rectangle has an area of 36m² and a width of 6m, what is its length?

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

💡 Explanation Using the area formula, Area = length × width, we can find length = Area ÷ width = 36m² ÷ 6m = 6m.

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

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

A 30m²
B 40m²
C 50m²
D 20m²

💡 Explanation The area is calculated as Area = base × height = 8m × 5m = 40m².

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

A triangle has a base of 12m and a height of 10m. What is its area?

A 60m²
B 80m²
C 100m²
D 120m²

💡 Explanation The area is calculated as Area = ½ × base × height = ½ × 12m × 10m = 60m².

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

What will be the area of a square with a side length of 7cm?

A 49cm²
B 42cm²
C 56cm²
D 63cm²

💡 Explanation The area is calculated as Area = side × side = 7cm × 7cm = 49cm².

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

What is the area of a circle with a radius of 10cm (use π ≈ 3.14)?

A 314cm²
B 3140cm²
C 31.4cm²
D 78.5cm²

💡 Explanation The area is calculated as Area = π × radius² = 3.14 × (10cm)² = 3.14 × 100 = 314cm².

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

A rectangle has a length of 15m and an area of 75m². What is the width?

A 5m
B 10m
C 15m
D 20m

💡 Explanation Using the area formula, width = Area ÷ length = 75m² ÷ 15m = 5m.

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

If the area of a square is 144m², what is the length of one side?

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

💡 Explanation The side length is found using the formula side = √(area). Side = √(144m²) = 12m.

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 circular garden has a radius of 7m. What is its area (use π ≈ 3.14)?

A 154m²
B 144m²
C 100m²
D 180m²

💡 Explanation The area is calculated as Area = π × radius² = 3.14 × (7m)² = 3.14 × 49 = 153.86m², approximately 154m².

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

How much area does a rectangle with dimensions 25m by 10m cover?

A 250m²
B 300m²
C 200m²
D 150m²

💡 Explanation The area is calculated as Area = length × width = 25m × 10m = 250m².

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

What is the area of a triangle with a base of 15m and a height of 12m?

A 90m²
B 120m²
C 75m²
D 100m²

💡 Explanation The area is calculated as Area = ½ × base × height = ½ × 15m × 12m = 90m².

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

If a parallelogram has a base of 6m and a height of 9m, what is its area?

A 54m²
B 45m²
C 60m²
D 72m²

💡 Explanation The area is calculated as Area = base × height = 6m × 9m = 54m².

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 square has an area of 81cm². What is the length of one side?

A 9cm
B 8cm
C 10cm
D 11cm

💡 Explanation The side length is found using the formula side = √(area). Side = √(81cm²) = 9cm.

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

What is the area of a circle with a radius of 8cm (use π ≈ 3.14)?

A 201.06cm²
B 100.48cm²
C 150.72cm²
D 50.24cm²

💡 Explanation The area is calculated as Area = π × radius² = 3.14 × (8cm)² = 3.14 × 64 = 200.96cm², approximately 201.06cm².

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

If the area of a rectangle is 120m² and its length is 15m, what is the width?

A 8m
B 6m
C 10m
D 5m

💡 Explanation Using the area formula, width = Area ÷ length = 120m² ÷ 15m = 8m.

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 trapezoid has a base of 10m, a height of 5m, and an area of 50m². What is the length of the other base?

A 10m
B 20m
C 15m
D 25m

💡 Explanation Using the area formula for trapezoids, Area = ½ × (base1 + base2) × height. Here, 50m² = ½ × (10m + base2) × 5m. Solving gives base2 = 15m.

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

What is the area of a triangle with a base of 20m and height of 8m?

A 80m²
B 100m²
C 120m²
D 160m²

💡 Explanation The area is calculated as Area = ½ × base × height = ½ × 20m × 8m = 80m².

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 circular pool has a radius of 10m. What is its area (use π ≈ 3.14)?

A 314cm²
B 314m²
C 31.4m²
D 78.5m²

💡 Explanation The area is calculated as Area = π × radius² = 3.14 × (10m)² = 3.14 × 100 = 314m².

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 rectangular park has dimensions 50m by 30m, what is its area?

A 1500m²
B 1800m²
C 1200m²
D 1000m²

💡 Explanation The area is calculated as Area = length × width = 50m × 30m = 1500m².

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

What is the area of a triangle with a base of 16m and height of 12m?

A 96m²
B 112m²
C 108m²
D 120m²

💡 Explanation The area is calculated as Area = ½ × base × height = ½ × 16m × 12m = 96m².

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

Calculate the area of a parallelogram with a base of 12m and a height of 10m.

A 120m²
B 140m²
C 100m²
D 150m²

💡 Explanation The area is calculated as Area = base × height = 12m × 10m = 120m².

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

A square has an area of 256cm². What is the length of one side?

A 12cm
B 14cm
C 16cm
D 18cm

💡 Explanation The side length is found using the formula side = √(area). Side = √(256cm²) = 16cm.

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

What is the area of a circle with a radius of 15m (use π ≈ 3.14)?

A 706.5m²
B 600m²
C 500m²
D 700m²

💡 Explanation The area is calculated as Area = π × radius² = 3.14 × (15m)² = 3.14 × 225 = 706.5m².

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

A triangle has an area of 150m² and a base of 25m. What is its height?

A 12m
B 10m
C 8m
D 6m

💡 Explanation Using the formula Area = ½ × base × height, we can find height = (Area × 2) ÷ base = (150m² × 2) ÷ 25m = 12m.

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

What is the area of a rectangular field measuring 40m by 25m?

A 1000m²
B 1200m²
C 1400m²
D 1600m²

💡 Explanation The area is calculated as Area = length × width = 40m × 25m = 1000m².

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

A parallelogram has a base of 20m and a height of 15m. What is its area?

A 300m²
B 400m²
C 450m²
D 500m²

💡 Explanation The area is calculated as Area = base × height = 20m × 15m = 300m².

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

If a square has an area of 144m², what is the perimeter?

A 36m
B 24m
C 12m
D 48m

💡 Explanation The side length is found using the formula side = √(area). Side = √(144m²) = 12m. Perimeter = 4 × side = 4 × 12m = 48m.

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?