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 Write-up

Penning for Pony

By

Angela Wenger

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?

Ted is going to take part of his existing fence to create a new fence for his pony. One side of the rectangular fence is already in place. One way to solve this problem is to create a spreadsheet in excel which will allow you to show the maximum value of the area of the fence, which will give you the largest dimensions of the fence.

 1 94 94 2 92 184 3 90 270 4 88 352 5 86 430 6 84 504 7 82 574 8 80 640 9 78 702 10 76 760 11 74 814 12 72 864 13 70 910 14 68 952 15 66 990 16 64 1024 17 62 1054 18 60 1080 19 58 1102 20 56 1120 21 54 1134 22 52 1144 23 50 1150 24 48 1152 25 46 1150 26 44 1144 27 42 1134 28 40 1120 29 38 1102 30 36 1080 31 34 1054 32 32 1024 33 30 990 34 28 952 35 26 910 36 24 864 37 22 814 38 20 760

Can you find another way to solve this problem?

Try your method and see if you can come to a correct conclusion.

Author & Contact
Angela Wenger