Primary 5 Mathematics Area Perimeter Quiz

What is the perimeter of a rectangle with length 12 cm and width 8 cm?

• A) 20 cm
• B) 32 cm
• C) 40 cm
• D) 96 cm

A square has an area of 64 cm². What is its perimeter?

• A) 16 cm
• B) 24 cm
• C) 32 cm
• D) 64 cm

What is the area of a triangle with base 10 cm and height 6 cm?

• A) 16 cm²
• B) 30 cm²
• C) 60 cm²
• D) 120 cm²

A parallelogram has base 15 cm and height 8 cm. What is its area?

• A) 23 cm²
• B) 46 cm²
• C) 120 cm²
• D) 240 cm²

Which shape has the largest area?

• A) Rectangle 8 × 6 cm
• B) Square 7 × 7 cm
• C) Triangle base 12 cm, height 8 cm
• D) Circle radius 4 cm (π = 3.14)

Calculate the area and perimeter of: a) A rectangle 15 cm × 9 cm b) A square with side 11 cm

Find the area of composite shapes: [Draw a shape made of a rectangle 10×6 cm with a triangle on top, base 10 cm, height 4 cm]

A rectangular garden is 25 m long and 18 m wide. Find: a) The area in m² b) The perimeter in m c) The cost to fence it at $15 per metre

The area of a triangle is 42 cm². If its base is 12 cm, what is its height?

A parallelogram and a rectangle have the same area. The rectangle measures 12 cm × 8 cm. If the parallelogram has a base of 16 cm, what is its height?

Flooring Problem Mrs. Tan wants to tile her rectangular living room floor. The room is 6 m long and 4 m wide. Each square tile is 50 cm × 50 cm. How many tiles does she need?

School Field Problem A school has a rectangular field that is 80 m by 60 m. The school wants to put a running track around the perimeter. If students run 3 laps around the field, how far do they run in total?

Garden Design Problem Mr. Lee has a triangular plot of land with base 24 m and height 18 m. He wants to plant grass on 3/4 of the area and flowers on the remaining area. Find the area of land for: a) Grass b) Flowers

Swimming Pool Problem A rectangular swimming pool is 25 m long and 12 m wide. It is surrounded by a concrete path that is 2 m wide on all sides. Find: a) The area of the pool b) The total area including the path c) The area of the path only

C) 40 cm

• Perimeter = 2(length + width) = 2(12 + 8) = 40 cm

C) 32 cm

• Area = 64 cm², so side = √64 = 8 cm
• Perimeter = 4 × 8 = 32 cm

B) 30 cm²

• Area = ½ × base × height = ½ × 10 × 6 = 30 cm²

C) 120 cm²

• Area = base × height = 15 × 8 = 120 cm²

D) Circle radius 4 cm

• A) Rectangle: 8 × 6 = 48 cm²
• B) Square: 7 × 7 = 49 cm²
• C) Triangle: ½ × 12 × 8 = 48 cm²
• D) Circle: π × 4² = 3.14 × 16 = 50.24 cm² (largest)

Rectangle and square calculations: a) Rectangle 15 × 9 cm:

• Area = 15 × 9 = 135 cm²
• Perimeter = 2(15 + 9) = 48 cm

b) Square side 11 cm:

• Area = 11² = 121 cm²
• Perimeter = 4 × 11 = 44 cm

Composite shape area = 80 cm² Working:

• Rectangle area = 10 × 6 = 60 cm²
• Triangle area = ½ × 10 × 4 = 20 cm²
• Total area = 60 + 20 = 80 cm²

Rectangular garden: a) Area = 450 m² Working: 25 × 18 = 450 m²

b) Perimeter = 86 m Working: 2(25 + 18) = 86 m

c) **Cost = $1,290** Working: 86 ×$15 = $1,290

Height = 7 cm Working: Area = ½ × base × height 42 = ½ × 12 × height 42 = 6 × height height = 42 ÷ 6 = 7 cm

Parallelogram height = 6 cm Working:

• Rectangle area = 12 × 8 = 96 cm²
• Parallelogram area = base × height
• 96 = 16 × height
• height = 96 ÷ 16 = 6 cm

Number of tiles = 96 Working:

• Room area = 6 × 4 = 24 m² = 24,000,000 cm²
• Each tile area = 50 × 50 = 2,500 cm²
• Number of tiles = 24,000,000 ÷ 2,500 = 9,600 tiles

Alternative method:

• Room dimensions: 600 cm × 400 cm
• Tiles along length: 600 ÷ 50 = 12
• Tiles along width: 400 ÷ 50 = 8
• Total tiles = 12 × 8 = 96 tiles

Total distance = 840 m Working:

• Perimeter of field = 2(80 + 60) = 280 m
• Distance for 3 laps = 3 × 280 = 840 m

Garden areas: a) Grass area = 162 m² b) Flower area = 54 m²

Working:

• Total area = ½ × 24 × 18 = 216 m²
• Grass area = ¾ × 216 = 162 m²
• Flower area = ¼ × 216 = 54 m²

Swimming pool areas: a) Pool area = 300 m² Working: 25 × 12 = 300 m²

b) Total area = 493 m² Working: (25 + 4) × (12 + 4) = 29 × 16 = 464 m²

c) Path area = 164 m² Working: 464 - 300 = 164 m²