How many square feet of drywall are needed for the wall shown in the figure to the right?

174.5 square feet of drywall are needed

Step-by-step explanation:

The picture of the question in the attached figure

we know that

we can divide the figure into a trapezoid and a rectangle (the door)

so

To find out how many square feet of drywall are needed, subtract the area of the rectangle minus the area of trapezoid

step 1

Find the area of trapezoid

The area of trapezoid is equal to

where

b_1 and b_2 are the parallel bases

h is the height (perpendicular distance between the parallel bases)

substitute the given values

step 2

Find the area of the rectangular door

we know that

The area of rectangle is

where

b is the base of the door

h is the height of the door

substitute the given values

step 3

Subtract the areas

therefore

174.5 square feet of drywall are needed

wth is with the little mtn top and what are you talking about like fix your words and accually make sence with them and i like was in a completly different question like three times like it seems like your ilitteret