Homework Help: College Algebra

Posted by Alicia on Friday, November 16, 2007 at 10:15pm.

Suppose that the length of a rectangle is 3 inches longer than the width and that the perimeter of the rectangle is 78.

Set up an equation involving only L, the length of the rectangle.

Solve this equation algebraically to find the length of the rectangle. Find the width as well.
Lenght Width

College Algebra - Michael, Friday, November 16, 2007 at 10:22pm
Let w be the width of the rectangle.

L = w + 3
(L - 3 = w)

2L + 2w = 78
2L + 2(L-3) = 78
2L + 2L - 6 = 78
4L = 84
L = 21 in.

W = L - 3 = 21 - 3 = 18 in.

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