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Math and Arithmetic

What is the area of a rectangle that has a perimeter of 200 and a width of x?



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AREA = L * W

You know that "W" is the width. So all you need is the length. The parimeter of any rectangle is two widths (2W) plus two lengths (2L). So, in other words:

2W + 2L = 200.

But we only need one of each, so we divide the perimeter by "2" to determine what one width and one length would be:

L + W = 100.

Now that we know that, one length (the missing part of our equation) is:

L = 100 - W

Put it all together, and we get:

AREA = L * W

AREA = (100 - W) * W