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A person decides to build a horse corral using a barn for one side. Has has 30m of fencing materials and wants the corral to have an area of 100m^2. What are the dimensions of the corral?

  • Let width = x
  • Let length = y
  • y=30-2x.

That's all I could come up with. Would appreciate any help or suggestions.

Dev
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1 Answers1

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Hint: The area of a rectangle is $A = lw$. You know that $A = 100~\text{m}^2$, $l = 30 - 2x$, and $w = x$. Solve the resulting quadratic equation for $x$ to find the possible values of the width, then use the formula $y = 30 - 2x$ to solve for the length.

N. F. Taussig
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