Question

The diagram shows a playground in the shape of a trapezium.
50 m
U
32m
90 m
Work out the area of the playground.

Answer 1

Answer:

$2240 {m}^{2}$

Step-by-step explanation:

Given,

Parallel sides of the trapezium = 50m, 90m

Height of the trapezium = 32m

Therefore,

Area of the trapezium

$= \frac{1}{2} \times sum \: of \: parallel \: sides \: \times \: height$

$= \frac{1}{2} \times (50 + 90)m \times 32m$

= (50 + 90) m × 16m

= 140m × 16m

$= 2240 {m}^{2} (ans)$

Answer 2

Answer:

A = 2240 m²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = $\frac{1}{2}$  h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 32 , b₁ = 90 and b₂ = 50 , then

A = $\frac{1}{2}$ × 32 × (90 + 50) = 16 × 140 = 2240 m²