SOLUTION: The perimeter of a rectangle is 72 inches. If the width and length are each increased by 6 inches, their ratio will be 7:9. What are the dimensions of the original rectangle?

Question 134501: The perimeter of a rectangle is 72 inches. If the width and length are each increased by 6 inches, their ratio will be 7:9. What are the dimensions of the original rectangle?
Answer by rajagopalan(174) (Show Source): You can put this solution on YOUR website!
Let L=Lenth, B=Width
given:
Perimeter=2L+2B=72
L+B=36....EQN 1
Also B+6:L+6=7:9
in a ratio product of mid terms = product of extreme terms
7(L+6)=9(B+6)
7L+42=9B+54
7L-9B=54-42=12
..
7L-9B=12
9L+9B=324 FROM EQN 1 (MUTIPLIED BY 9)
Adding 16L=336
L=336/16=21
B=36-21=15
So answer : Length = 21 and width=15
Verification
add 6 to both
L:B=21+6:15+6
L:B=27:21
L:B=9:7
Okay

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