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John is building a rectangular puppy kennel up against his house using 31 feet of fencing. The side against the house does not need a fence and the side parallel to his house needs to be 15 feet long. Write an equation that models the situation and solve for the length of one of the shorter sides that extend out from the house.

Answer 1

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Answer 2

Hazel Anglin

Each of the shorter sides extended out from the house is 8 feet long.

John has to build a three-sided fence using 31 feet of fencing, with a 15-foot single side running parallel to the house.

The equation for this issue can be expressed as follows:

#31 = 2s + 15#

Where 31 is the total amount of fencing John has to use, 15 is the one side where the length is given, #s# is the length of each of the other two sides and because there are two sides we multiply #s# by #2#

When this equation is solved, the result is:

#31 -15 = 2s + 15 - 15#

#16 = 2s + 0#

#16 = 2s#

#16/2 = (2s)/2#

#8 = s#

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.