SOLUTION: The perimeter of a rectangle is 220 inches. The ratio of its length to its width is 7:3. Find the area of the rectangle.

Question 751091: The perimeter of a rectangle is 220 inches. The ratio of its length to its width is 7:3. Find the area of the rectangle.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The perimeter of a rectangle is 220 inches. The ratio of its length to its width is 7:3. Find the area of the rectangle.
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Equations:
Using Perimeter:
2(L+W) = 220
L+W = 110
L = 110-W
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Using ratio:
3L = 7W
L = (7/3)W
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Solve:
Substitute to get:
110-W = (7/3)W
(10/3)W = 110
W = 3*11
W = 11
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Solve for "L":
L = 110-W
L = 99
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Find the Area:
Area = L*W = 99*11 = 1089 sq. units
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Cheers,
Stan H.
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