Math CentralQuandaries & Queries


Question from gregg, a parent:

the perimeter of a rectangle is 70 feet. the ratio of length to width is 4:3. how would i calculate the length of the height and width?


Suppose the length is L feet and the width is W feet. You know two facts.

  1. The perimeter is 70 feet so L + W + L + W = 70 or

    L + W = 35

  2. The ratio L:W is 4:3 so

    L/W =4/3

From the first equation L = 35 - W and from the second equation 3L = 4W.

Can you now find L and W?


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