Question

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.

Answer 1

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