SOLUTION: The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (length and width) of the rectangle? Thanks in advance

Question 119202: The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (length and width) of the rectangle?
Thanks in advance!
Jessica
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The length is 1 cm longer than the width, so if the width is w, the length is w +1. The diagonal of the rectangle forms a right triangle with the length and the width, so Pythagoras says:

Expand the binomial and collect terms:

Use the quadratic formula:

so this won't do as an answer because a rectangle can't have a negative width. So, is the width.

is then the length.
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