SOLUTION: the length of a rectangle is 5 feet longer than its width. If its area is 36 square feet, find its perimeter.

Question 942559: the length of a rectangle is 5 feet longer than its width. If its area is 36 square feet, find its perimeter.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = length (feet)
y = width (feet)
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x = y + 5
y = x - 5
xy = 36
x(x - 5) = 36
xx - 5x - 36 = 0
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the above quadratic equation is in standard form, with a=1, b=-5 and c=-36
---
to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 -5 -36
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the quadratic has two real roots at:
---
x = 9
x = -4
---
the negative root doesn't fit the problem statement, so use the positive root:
---
x = 9
y = 9 - 5
y = 4
---
answer:
p = 2x + 2y
p = 2*9 + 2*4
p = 26 feet
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