SOLUTION: [ The length of a rectangle is 7 inches more than 5 times its width, the area is 108 square inches ]

Question 819850: [ The length of a rectangle is 7 inches more than 5 times its width, the area is 108 square inches ]
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
L = 5w + 7
Lw = 108
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Lw = 108
(5w + 7)w = 108
5ww + 7w - 108 = 0
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the above quadratic equation is in standard form, with a=5, b=7, and c=-108
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to solve the quadratic equation, by using the quadratic formula, plug this:
5 7 -108
into this: https://sooeet.com/math/quadratic-equation-solver.php
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the two real roots (i.e. the two x-intercepts), of the quadratic are:
w = 4
w = -5.4
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answer:
L = 27 in
w = 4 in
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Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
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Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php
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