The sides of a rectangle are in the ratio 5: 7 and the perimeter of the rectangle is 96 cm. what is the area of the rectangle? a. 980 cm2 c. 462 cm2 b. 560 cm2 d. 418 cm2

Let k represent a scale factor for the side lengths. Then the perimeter is
.. P = 2(5k +7k) = 24k = 96
.. k - 96/24 = 4

The area is
.. A = (5k)*(7k) = 20*28 = 560 . . . . cm^2

Selection B is appropriate.

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