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Question 823215: The area of a rectangle is 560 square inches. The length is 3 more than twice the width. Find the
length and the width.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
Lw = 560
L = 2w + 3
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Lw = 560
(2w + 3)w = 560
2ww + 3w - 560 = 0
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the above quadratic equation is in standard form, with a=2, b=3, and c=-560
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
2 3 -560
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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this quadratic has two real roots (the x-intercepts), which are:
w = 16
w = -17.5
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negative width doesn't make sense for this problem, so use the positive root
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answer:
w = 16 in
L = 35 in
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