Question

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

A right trapezoid with top side 5 feet and height 5 feet. The bottom side is extended to the right with 3 more feet.
32.5 square feet
40 square feet
187.5 square feet
375 square feet

Answer 1

32.5 square feet

Explanation:

The area of the triangle is 7.5 and the area of the rectangle is 25 so then add 25+7.5 and the answer si 32.5

Answer 2

The area of the doghouse is
`32.5\ ft^(2)`

Explanation:

we know that

The area of trapezoid is equal to

`A=(1)/(2)(b1+b2)h`

where

b1,b2 are the parallel bases of trapezoid

h is the height of trapezoid

in this problem we have

`b1=5\ ft`

`b2=5+3=8\ ft`

`h=5\ ft`

substitute

`A=(1)/(2)(5+8)5=32.5\ ft^(2)`