Question

. A building in the shape of a rectangular prism needs to be painted. Some facts about the building are shown below. The building has a width of 50 feet, a length of 80 feet, and a height of 120 feet. • There are 60 windows on each lateral face of the building. • Each window is a square measuring 5 feet on a side. Using this information, which expression represents the total lateral surface area, in square feet, that needs to be painted? o (2) (120) (80) + (2) (120) (50) – (60) (52) o (2) (120) (80) + (2) (120) (50) – (4) (60) (52) o (2) (50) (80) + (2) (120) (80) + (2) (120) (50) – (60) (52) o (2) (50) (80) + (2) (120) (80) + (2) (120) (50) – (4) (60) (52) - Previous​

Answer 1

Answer:

(2)(120)(80) + (2)(120)(50) - (4)(60)(5²)

Step-by-step explanation:

The lateral faces of the building are the 4 sides of the building consisting:

2 rectangles of 120 ft by 80 ft

Area of the two rectangular faces = (2)(120)(80)

And

2 rectangles of 120 ft by 50 ft

Area of the two rectangular faces = (2)(120)(50)

✔️Total lateral surface area of the building = (2)(120)(80) + (2)(120)(50)

Note: we are asked to find the expression that represents the total surface area that needs to be painted given that there are 60 windows on each lateral face of the building of the shape of a square with side lengths of 5 ft.

Therefore, the total lateral surface area of the building that will be painted = total lateral surface of the building - total area covered by the 60 windows on each face of the building

Surface area covered by 60 windows in the 4 lateral face of the building = (4)(60)(5²)

✅total lateral surface area of the building that will be painted = (2)(120)(80) + (2)(120)(50) - (4)(60)(5²)