Question

how many square feet of drywall are needed for the wall shown in the figure to the right? for the given wall, square feet of drywall is needed.

Explanation:

Step1: Calculate area of large rectangle

The large rectangle has length $l = 12$ feet and width $w = 24$ feet. The area formula for a rectangle is $A = l\times w$. So, $A_{1}=12\times24 = 288$ square - feet.

Step2: Calculate area of small rectangle

The small rectangle has length $l = 5$ feet and width $w = 7$ feet. Using the area formula for a rectangle $A = l\times w$, we get $A_{2}=5\times7 = 35$ square - feet.

Step3: Calculate area of dry - wall needed

The area of dry - wall needed is the area of the large rectangle minus the area of the small rectangle. So, $A = A_{1}-A_{2}=288 - 35=253$ square - feet.

Answer:

253