Posted by **jane** on Tuesday, March 15, 2011 at 9:35pm.

The diagnol of a rectangle is 20 inches. The width is 4 inches shorter than its length.

- geometry -
**Helper**, Tuesday, March 15, 2011 at 9:58pm
Your question, I assume, is to find the length and width of the rectangle?

The diagonal creates 2 right triangles.

L = length

L - 4 = width

By the Pythagorean theorem,

d^2 = L^2 + (L - 4)^2

20^2 = L^2 + (L - 4)^2

Solve for L, the length

width = L - 4

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