SOLUTION: A rectangle has a length of 27 inches less than 5 times its width. If the area of the rectangle is 3690 square inches, find the length of the rectangle.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A rectangle has a length of 27 inches less than 5 times its width. If the area of the rectangle is 3690 square inches, find the length of the rectangle.      Log On


   

Question 1101947: A rectangle has a length of 27 inches less than 5 times its width. If the area of the rectangle is 3690 square inches, find the length of the rectangle.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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rectangle has a length of 27 inches less than 5 times its width.
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Dimensions 5w-27 and w


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area of the rectangle is 3690 square inches, find the length
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w%285w-27%29=3690


SOLVE FOR w
5w%5E2-27w-3690=0
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discriminant 27%5E2%2B4%2A5%2A3690=74529=273%5E2;
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w=%2827%2B273%29%2F%282%2A5%29
highlight%28w=30%29


5w-27=highlight%28highlight%28123%29%29---------length