SOLUTION: The width of a rectangle is 6 less than twice its length. If the area of the rectangle is 117cm^2, what is the length of the diagonal? The length of the diagonal is [ ]c

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Question 1200508: The width of a rectangle is 6 less than twice its length. If the area of the rectangle is 117cm^2, what is the length of the diagonal?
The length of the diagonal is [ ]cm.
Give your answer to 2 decimal places.
Answer by josgarithmetic(39631) About Me  (Show Source):
You can put this solution on YOUR website!
A most typical exercise, answered many many times on the site.

%282L-6%29%2AL=117, length L.

2L%5E2-6L-117=0
discriminant, 36%2B4%2A2%2A117=972
L=%286%2B+sqrt%28972%29%29%2F4
L=9.294, width=12.588
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Diagonal, sqrt%289.294%5E2%2B12.588%5E2%29
15.647
(Did not recheck)