SOLUTION: 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 45 feet and 6 foot hig

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Question 189577: 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 45 feet and 6 foot high walls requires 3 quarts of paint, find the amount of paint needed to cover the walls of two rooms that each have a perimeter of 35 feet and 6-foot high walls. How many quarts are needed ( round up to the nearest quart).
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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 45 feet and 6 foot high walls requires 3 quarts of paint,
:
Find the area of this room: 45 * 6 = 270 sq/ft
:
find the amount of paint needed to cover the walls of two rooms that each have a perimeter of 35 feet and 6-foot high walls.
:
Find the area of these two room: 2 * 35 * 6 = 420 sq/ft
:
How many quarts are needed ( round up to the nearest quart).
:
Let x = no. of quarts needed:
270%2F420 = 3%2Fx
cross multiply
270x = 420 * 3
x = 1260%2F270
x = 4.67 ~ 5 quarts required