Question

A window is shaped like the trapezoid shown below. What is the area of the window? Group of answer choices 63 in2 141.75 in2 283.5 in2 47.25

Answer 1

Answer:

$A=47.25\ in^2$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The area of a trapezoid is equal to

$A=\frac{1}{2}[b_1+b_2]h$

where

b_1 and b_2 are the parallel bases

h is the perpendicular distance between the parallel bases

we have

$b_1=4.5\ in\\b_2=9\ in\\h=7\ in$

substitute

$A=\frac{1}{2}[4.5+9]7$

$A=47.25\ in^2$