SOLUTION: You have been hired to renovate a family room. Instead of measuring the length and width of the room, the owners told you: The length of the family room is 5 less than twice the wi
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Question 167483: You have been hired to renovate a family room. Instead of measuring the length and width of the room, the owners told you: The length of the family room is 5 less than twice the width. The perimeter is 80 feet.
1) Find the length and width of the room.
2) The carpet that is needed costs $12 per square yard.
3) The walls are 8 ft high. One gallon of paint can cover 200 square ft. You need to paint all four walls. (Dont worry about doors and windows) One gallon of paint costs $14.99. We will have leftover paint.
4) One-foot-square ceiling tiles are sold in packages of 50. One package of ceiling tiles cost $39.99. We will have leftover ceiling tiles.
5) Miscellaneous supplies will cost $28.
How much will it cost, in supplies, to re-do this family room? Answer by Mathtut(3670) (Show Source):
You can put this solution on YOUR website! let W=Width , L=length , P=perimeter
P=2L+2W
L=2W-5
take L's and perimeter value and plug it into Perimeter equation.
1.
80=2(2W-5)+2W
80=4W-10+2W
90=6W---> width length
2.if there are 80 sq ft in order to get the number of square yards you must
divide by 9---->80/9=8.89 sq yds so 8.89(12)=
3. amount of wall space is perimeter of the room which is 80*8=640
if paint covers 200 sqft the number of gallons needed would be 640/200
which equals 3.2 meaning we have to buy 4 gallons to cover the walls
...4*14.99/gal=
4.area of ceiling is 25*15=375 sq ft so if one package covers 50 sq ft
..375/50=7.5 so it will take 8 packages of tiles to cover ceiling
....8*39.99=
5. so with the misc supplies of we havecost to do family room
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