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Question

You are fencing a rectangular puppy kennel with 25 ft of fence. The side of the kennel against your house does not need a fence. This side is 9 ft long. Find the dimensions of the kennel.

Solution

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We are given that one side is 9 ft long (along the side of the house). Let xx be the other dimemsion so that the perimeter, considering only three sides is:

P=x+x+9P=x+x+9

Given that P=25P=25 ft, the amount of fencing you have, then:

25=x+x+925=x+x+9

25=2x+925=2x+9

16=2x16=2x

8=x8=x

So, the dimensions of the puppy kennel are:

9 ft by 8 ft\color{#c34632}\text{9 ft by 8 ft}

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