SOLUTION: A rectangle has a length of 38 meters less than 8 times its width. If the area of the rectangle is 4050 square meters, find the length of the rectangle.

Question 923408: A rectangle has a length of 38 meters less than 8 times its width. If the area of the rectangle is 4050 square meters, find the length of the rectangle.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
L = 8w - 38
Lw = 4050
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(8w - 38)w = 4050
8ww - 38w - 4050 = 0
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the above quadratic equation is in standard form, with a=8, b=-38, and c=-4050
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
8 -38 -4050
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the quadratic has two real roots at:
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w = 25
w = 25
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the negative root doesn't fit the problem statement, so use the positive root
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w = 25 meters
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answer:
L = 4050/w = 4050/25 = 162 meters
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