Question 830220: Calvin wants to fence off a rectangular playground beside an apartment building. the building forms one boundary, so he needs to fence only the other three sides. the area of the playground is to be 11,250 sq meters. he has enough material to build a 325 meters of fence. find the length and width of the playground.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
325 = 2x + y
xy = 11250
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y = 325 - 2x
x(325 - 2x) = 11250
-2xx + 325x - 11250 = 0
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the above quadratic equation is in standard form, with a=-2, b=325, and c=-11250
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
-2 325 -11250
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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x = 50
x = 112.5
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the problem has two solutions:
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solution 1:
x = 50 m
y = 225 m
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solution 2:
x = 112.5 m
y = 100 m
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