SOLUTION: The perimeter of a rectangle is 120 feet. IF the ratio of the width to length is 5 to 7, find the dimensions of the rectangle.

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Question 104940: The perimeter of a rectangle is 120 feet. IF the ratio of the width to length is 5 to 7, find the dimensions of the rectangle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P=120 feet
W/L=5/7
The perimeter of a rectangle is
P=2W%2B2L
You also know
W%2FL=5%2F7
W=5L%2F7
Use that in your perimeter equation,
P=2W%2B2L=120
2%285L%2F7%29%2B2L=120
10L%2F7%2B14L%2F7=120
24L%2F7=120
L=120%2A7%2F24
L=35
From your previous equation,
W=5L%2F7
W=5%2835%29%2F7
W=25
Check your answer.
W%2FL=5%2F7
25%2F35=5%2F7
5%2F7=5%2F7
Good, now check perimeter.
2W%2B2L=120
2%2825%29%2B2%2835%29=120
50%2B70=120
120=120
Good answer.
W=25 feet, L=35 feet.