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 65 feet and 8-foot walls requires 5.2 quarts Of paint, find the amount of paint needed to cover the walls of a room with a perimeter of 35 feet And 6-foot walls.
A) 2.1 quarts
B) 4.2 quarts
C) 210 quarts
D) 21 quarts

Question

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 65 feet and 8-foot walls requires 5.2 quarts Of paint, find the amount of paint needed to cover the walls of a room with a perimeter of 35 feet  And 6-foot walls.
A) 2.1 quarts
B) 4.2 quarts
C) 210 quarts
D) 21 quarts

Quizplus · Accepted Answer

The amount of paint needed is directly proportional to both the perimeter and the height of the walls. Using the given information, the constant of proportionality (k) can be found using the formula: Paint = k * Perimeter * Height. For the given room, 5.2 = k * 65 * 8. Solving for k gives k = 5.2 / (65*8). To find the paint needed for the new dimensions, substitute the values into the formula with the found k: Paint = k * 35 * 6. This calculation results in 2.1 quarts of paint needed.

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