Problem

Soccer My rectangular soccer field site has a length equal to twice its wi...

Soccer My rectangular soccer field site has a length equal to twice its width. Find its area in terms of its length x. HINT [See Quick Example 3 on page 56.]

Reference:

I am fencing a rectangular area whose perimeter is 100 ft. Find the area as a function of the width x.

Model: Take y to be the length, so the perimeter is 100 = x + y + x + y = 2(x + y) .

This gives x + y = 50.

Thus the length is y = 50 − x , and the area is A = xy = x(50 − x).

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