SOLUTION: You are creating a deck with an area of 120 square feet. The length is eight feet less than twice the width. What should the dimensions be?

Question 821352: You are creating a deck with an area of 120 square feet. The length is eight feet less than twice the width. What should the dimensions be?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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Lw = 120
L = 2w - 8
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Lw = 120
(2w - 8)w = 120
2ww - 8w - 120 = 0
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the above quadratic equation is in standard form, with a=2, b=-8, and c=-120
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
2 -8 -120
into this solver: 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 = 10
w = -6
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negative width doesn't make sense so use the positive root:
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answer:
w= 10 ft
L= 12 ft
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Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
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