SOLUTION: The diagonal of a rectangle measures 15 inches and the length is 3 more than the width. Find the length and width of the rectangle.

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Question 188543: The diagonal of a rectangle measures 15 inches and the length is 3 more than the width. Find the length and width of the rectangle.
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
We have a right triangle. The diagonal is the hypotenuse.
Let L=w+3
a^2+b^2=c^2
w^2+(w+3)^2=15^2 substitute w+3 for L
w^2+w^2+6w+9=225
2w^2+6w-216=0
w^2+3w-108=0 divide each side by 2.
(w+12)(w-9)=0
w=9"
L=12"
.
Ed