Solve the problem.
-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 35 feet and 10-foot walls requires 3.5 quarts of paint, find the
Amount of paint needed to cover the walls of a room with a perimeter of 40 feet and 10-foot walls.
A) 400 qt
B) 4 qt
C) 40 qt
D) 8 qt

Question

Quizplus · Accepted Answer

The amount of paint needed is directly proportional to both the perimeter of the room and the height of the walls. Since the height remains the same (10 feet) and the perimeter increases from 35 to 40 feet, we can set up a proportion based on the given information: (35 feet * 10 feet) / 3.5 quarts = (40 feet * 10 feet) / x quarts. Solving for x gives us 4 quarts.

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