Question

A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse?

Answer 1

Area of the doghouse =- 32.5 sq. ft

Solution:

Given height = 5 ft, base1,
`b_1` = 5ft

Base2,
`b_2` =
`b_1+3=5+3=8` ft

Area of the trapezoid =
`(1)/(2)* height* (base1 +base2)`

`=(1)/(2)* 5* (5+8)`

`=(1)/(2)* 5* 13`

`=(1)/(2)* 65`

`=32.5` sq. ft

Area of the trapezoid = 32.5 sq.ft

Hence the area of the doghouse is 32.5 sq. ft.