Solve.
-The amount of paint needed to cover the walls of a room varies jointly as the perimeter of the room and the height of the wall. If a room with a perimeter of 60 feet and 6-foot walls requires 3.6 quarts of paint, find the
Amount of paint needed to cover the walls of a room with a perimeter of 45 feet and 6-foot walls.
A) 2.7 quarts
B) 27 quarts
C) 270 quarts
D) 5.4 quarts

Question

Quizplus · Accepted Answer

The amount of paint varies jointly with the perimeter and the height, so the formula can be represented as Paint = k * Perimeter * Height, where k is a constant. Given a perimeter of 60 feet and 6-foot walls require 3.6 quarts, we can find k and then use it to calculate the paint needed for a perimeter of 45 feet with the same wall height. Since the height remains the same, the amount of paint needed is directly proportional to the perimeter. Reducing the perimeter from 60 to 45 reduces the paint needed by 1/4 (since 45 is 3/4 of 60), so 3.6 quarts * 3/4 = 2.7 quarts.

Solve. -The Amount of Paint Needed to Cover the Walls of of a Room