SOLUTION: The width of a rectangle is 5 less than twice its length. If the area of the rectangle is 183 cm2, what is the length of the diagonal?

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Question 1125429: The width of a rectangle is 5 less than twice its length. If the area of the rectangle is 183 cm2, what is the length of the diagonal?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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length x
width 2x-5
area 183
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x%282x-5%29=183
2x%5E2-5x-183
x=%285%2Bsqrt%281489%29%29%2F4---------"length" of rectangle
2x-5=%28-5%2Bsqrt%281489%29%29%2F2---------"width" of rectangle
-
The diagonal,
sqrt%28%28%285%2Bsqrt%281489%29%29%2F4%29%5E2%2B%28%28sqrt%281489%29-5%29%2F2%29%5E2%29
several steps not shown here,...
%281%2F4%29sqrt%281514%2B6056-30sqrt%281489%29%29
highlight_green%28%281%2F4%29sqrt%287570-30%2Asqrt%281489%29%29%29

(check for possible mistakes)