Question

Please help.

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

A.45.5 square feet
B.63 square feet
C.66.5 square feet
D.84 square feet

Answer 1

A = 1/2(7+12)(7)
A = 1/2(19)(7)
A = 1/2(133)
A = 66.5

answer
C.66.5 square feet

Answer 2

Option C

The area of the doghouse is
`66.5\ 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=7\ ft`

`b2=7+5=12\ ft`

`h=7\ ft`

substitute

`A=(1)/(2)(7+12)7=66.5\ ft^(2)`