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 dash 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 55 feet and 8-foot walls.

Solution:

Given that,

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

The formula for joint variation is:

Where,

z is the amount of paint needed

x is the perimter of room

y is the height of room

Room with a perimeter of 35 feet and 10 foot high walls requires 3.5 quarts of paint

Therefore,

find the amount of paint needed to cover the walls of a room with a perimeter of 55 feet and 8-foot walls

Substitute k = 0.01, x = 55 and y = 8 in joint variation formula

Thus, 4.4 quarts of paint needed to cover the walls of a room with a perimeter of 55 feet and 8-foot walls

just take the area of the square and then the area of the circle then subtract the circle area from the squares area

step-by-step explanation: