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

please helpA doghouse is to be built in the shape of a right trapezoid as shown below What is the area of the doghouse A455 square feet B63 square feet C665 squ class=

Respuesta :

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:

Option C

The area of the doghouse is [tex]66.5\ ft^{2}[/tex]

Step-by-step explanation:

we know that

The area of trapezoid is equal to

[tex]A=\frac{1}{2}(b1+b2)h[/tex]

where

b1,b2 are the parallel bases of trapezoid

h is the height of trapezoid

in this problem we have

[tex]b1=7\ ft[/tex]

[tex]b2=7+5=12\ ft[/tex]

[tex]h=7\ ft[/tex]

substitute

[tex]A=\frac{1}{2}(7+12)7=66.5\ ft^{2}[/tex]