SOLUTION: New carpeting is being installed in a rectangular office. In order to know how much carpeting to buy, the area of the office must be calculated. The perimeter of the office is 40 f

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Question 1050137: New carpeting is being installed in a rectangular office. In order to know how much carpeting to buy, the area of the office must be calculated. The perimeter of the office is 40 feet and the ratio of its length by its width is 3:2. What is the area (in square feet) of the office?
Found 3 solutions by addingup, josgarithmetic, ewatrrr:
Answer by addingup(3677) About Me  (Show Source):
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Ratio 3:2 and perimeter of 40:
Perimeter = 2L+2W
and given the ratio of 3:2
2(3x)+2(2x) = 40
6x+4x = 40
10x = 40
x = 4
3(4) = 12 is the length and 2(4) = 8 is the width
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Check
(2*12)+(2*8) = 24+16 = 40 Correct.
:
John

Answer by josgarithmetic(39617) About Me  (Show Source):
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If length is x and width is y, then y%2Fx=2%2F3.

Perimeter information means 2x%2B2y=40.

Simplfied as system%28x%2By=20%2Cy=2x%2F3%29.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi  

.

 Let x represent the constant of proportionality

L = 3x, w = 2x

2L + 2w = P

2(3x) + 2(2x) = 40ft

10x = 40ft

x = 4ft

w = 8ft, L = 12ft

A = Lw

A = (12ft)(8ft) = 96ft^2