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

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!
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
------------------------------------
Check
(2*12)+(2*8) = 24+16 = 40 Correct.
:
John
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
If length is x and width is y, then .

Perimeter information means .

Simplfied as .
Answer by ewatrrr(24785)   (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

 

RELATED QUESTIONS


wall-to-wall carpeting is installed in a room that is 10ft long and 12ft wide. The edges... (answered by nerdybill)

a-1 Carpet charges $150 to remove old carpet,and $20 per square yard for new carpeting.... (answered by stanbon,Theo)

Suppose you want to put new carpeting in a 12 ft by 16 ft room. Calculate the amount of... (answered by edjones)

A room is 10.5 by 13 feet. How much carpeting is need to cover the floor?

 (answered by piglet162431)

If you have a rectangle the length is 42 feet and the width is 22 feet. How much... (answered by MathLover1)

you want to carpet a rectangular room that is 20ft by 28ft. carpet costs $16.6 per square  (answered by josgarithmetic,MathTherapy)

Harold wants to cover the floors of his home with carpeting.  He has 1,728
square feet... (answered by Alan3354)

Cost of Saxony Carpeting The cost of DuPont Stainmaster Saxony carpeting is $5.56 per... (answered by solver91311)

The Santos spent Php1468 on carpeting for their new home. The carpeting used in the... (answered by mananth)