SOLUTION: The area of a rectangle is 108 cm^2. the ratio of the width to the length is 3:4. Find the length and the width.

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If the ratio of width to length is 3:4, then we can say that . Cross-multiplying gives or .

The area of a rectangle is given by . We know that the area is 108 square centimeters, so we can say: .

Now we can substitute for

or

Multiply by 3/4:



(actually, w = plus or minus 9, but we can exclude the -9 result because we are looking for a positive number length measurement)



So the width is 9 and the length is 12.