Question

Tom wishes to build a pen for his rabbit. He wants it to be three times as long as it is wide and he wants to use no more than half of 240-feet chicken wire. what is the maximum dimensions he can make his pen?

Answer 1

The Solution:

Given:

`\begin{gathered} L=3W \\ where\text{ L=length and W=width.} \end{gathered}`

The perimeter of a surface of the rabbit pen must not be more than half of 240-feet

`P=3W+3W+W+W\leq(240)/(2)`
`\begin{gathered} 8W\leq120 \\ \\ W\leq(120)/(8) \\ \\ W\leq15ft \end{gathered}`

The maximum length is:

`\begin{gathered} L\leq3(15) \\ L\leq45ft \end{gathered}`