Penning the Pony

By

Tennille Rushin

 

To make a pen for his new pony, Ted will use an existing fence as one side of the pen. If he has ninety-six meters of fencing, what are the dimensions of the largest rectangular pen he can make?

 

First, I thought about creating a visual representation of this problem.  In order to find the possible lengths for each side you must use a formula to determine those lengths.  X + 2Y = 96 or

 

 

 

Instead of using the guess and check method to solve this problem, I decided to use excel and let excel calculate the answer for me. Cell A1 represented the value of X.  Cell B1 contained the formula for Y which was, = (96-A1)/2.  And cell C1 contained the area, =A1*B1.  Once the formulas were complete, I plugged in 1 for X and dragged my cursor.  The largest possible area for this pony pen is 1,151.5 square feet.  This is possible if X=47 ft and Y=24.5 ft or X=49 ft and Y =23.5 ft.  If you would like to see the spreadsheet  click here.

 

 

 

 

 

 

 

 

 

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