141k views
5 votes
The diagram shows a playground in the shape of a trapezium.

50 m
U
32m
90 m
Work out the area of the playground.

The diagram shows a playground in the shape of a trapezium. 50 m U 32m 90 m Work out-example-1

2 Answers

3 votes

Answer:

A = 2240 m²

Explanation:

The area (A) of a trapezium is calculated as

A =
(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 =
(1)/(2) × 32 × (90 + 50) = 16 × 140 = 2240 m²

User Vishwas
by
6.2k points
1 vote

Answer:


2240 {m}^(2)

Explanation:

Given,

Parallel sides of the trapezium = 50m, 90m

Height of the trapezium = 32m

Therefore,

Area of the trapezium


= (1)/(2) * sum \: of \: parallel \: sides \: * \: height


= (1)/(2) * (50 + 90)m * 32m

= (50 + 90) m × 16m

= 140m × 16m


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

User Shayki Abramczyk
by
5.1k points