BECE Geometric Shapes and Mensuration 2

Question 1

The perimeter of a rectangle is 56 cm. If its length is 18 cm, what is its width?

Accepted Answer

10 cm

Answer

Perimeter = 2(l + w), so 56 = 2(18 + w), giving w = 28 − 18 = 10 cm.

Question 2

What is the area of a circle with diameter 14 cm? (Use π = 22/7)

Accepted Answer

154 cm²

Answer

Radius = 7 cm; Area = πr² = (22/7) × 49 = 154 cm².

Question 3

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

Accepted Answer

32 cm

Answer

Side = √64 = 8 cm; Perimeter = 4 × 8 = 32 cm.

Question 4

What is the area of a trapezoid with parallel sides 10 cm and 6 cm, and a perpendicular height of 4 cm?

Accepted Answer

32 cm²

Answer

Area = ½(a + b)h = ½(10 + 6) × 4 = ½ × 16 × 4 = 32 cm².

Question 5

A parallelogram has a base of 12 cm and a height of 5 cm. What is its area?

Accepted Answer

60 cm²

Answer

Area of a parallelogram = base × height = 12 × 5 = 60 cm².

(BECE) Basic Education Certificate Examination Practice Test