SOLUTION: The ratio between the perimeter and the width of a rectangle is 14 : 3. If the area of the rectangle is 108 sq. cm, what is the length of the rectangle?

Question 905445: The ratio between the perimeter and the width of a rectangle is 14 : 3. If the area of the rectangle is 108 sq. cm, what is the length of the rectangle?

Found 2 solutions by JoelSchwartz, Math_Boss:
Answer by JoelSchwartz(130) (Show Source): You can put this solution on YOUR website!
A=108
108=Lw
w=108/L
p/w=14/3
p=2L+2w
(2L+2w)/w=14/3
2L+2w=14/3w
2L+2(108/L)=14/3(108/L)
2L+216/L=504/L
2L^2=504-216
2L^2=288
L^2=144
L=12
w=108/12
w=9
p=2*12+2*9
p=24+18
p=42
p/w=14/3
42/9=14/3
(42/9)/3=14/3
(42/3)/(9/3)=14/3
14/3=14/3
Answer by Math_Boss(45) (Show Source): You can put this solution on YOUR website!

Substitute p=2(l+w)

Substitute w=(108/l)

Multiply by l

Divide by 6

(reject)
Ans:l=12 cm
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