Dale and sharon mahnke have decided to fence off the garden plot behind their house, using their house as a "fence" along one side of a garden. the length (which runs parallel to the house) is 66 feet less than twice the width. find the dimensions if 30 feet of fencing is used along the three sides requiring it.

The length l is given as:

l = 2 w – 6

where w is the width

We know that the fencing is 30 feet therefore the perimeter (excluding the side of the house) is:

P = l + 2 w = 30

2 w – 6 + 2 w = 30

4 w – 6 = 30

w = 9

So the length l is:

l = 2 (9) – 6

l = 12

The dimensions are 12 ft x 9 ft

17 1/3

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