Question

kevin is planning to apply stucco to a building whose dimensions are shown below. the front - right view and back - left view of the building are given. the front of the building has a window measuring 16 ft by 3 ft. the back of the building has no window or door. the left and right sides of the building each have a window measuring 4 ft by 7 ft. assuming the roof, windows, and door require no stucco, what is the area in square feet that needs stucco? (do not round any intermediate computations and give your answer as a whole number.) conversion facts for length: 1 foot (ft) = 12 inches (in), 1 yard (yd) = 3 feet (ft), 1 yard (yd) = 36 inches (in)

Explanation:

Step1: Calculate the area of the left - right sides

The left and right sides are rectangles with dimensions 4 ft by 20 ft. The area of a rectangle is $A = l\times w$. For each side, $A_{side}=4\times20 = 80$ square - feet. Since there are 2 such sides, the total area of the left and right sides is $2\times80=160$ square - feet.

Step2: Calculate the area of the front side

The front side has a window measuring 16 ft by 3 ft. The area of the front side of the building without the window is $A_{front}=32\times20-16\times3$. First, $32\times20 = 640$ square - feet and $16\times3 = 48$ square - feet. So, $A_{front}=640 - 48=592$ square - feet.

Step3: Calculate the area of the back side

The back side has no window or door. The area of the back side is $A_{back}=32\times20=640$ square - feet.

Step4: Calculate the total area of the stucco

The total area of the stucco is $A = A_{side}+A_{front}+A_{back}=160 + 592+640=1392$ square - feet.

Answer:

1392