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 7 feet less than

twice the width. Find the dimensions if 29 feet of fencing is used along the three sides requiring it
The length is?

Answer 1

Explanation:

Let's assume that the width of the garden is "x" feet.

According to the problem, the length is 7 feet less than twice the width. So, the length can be represented as:

length = 2x - 7

The amount of fencing required will be the sum of the lengths of the three sides that need to be fenced off. The two widths will have the same length, so we only need to count one of them:

fencing required = length + 2*width

fencing required = (2x - 7) + 2x

fencing required = 4x - 7

We know that 29 feet of fencing will be used, so we can set the equation equal to 29 and solve for x:

4x - 7 = 29

4x = 36

x = 9

So the width of the garden is 9 feet. Using this value, we can find the length:

length = 2x - 7

length = 2(9) - 7

length = 11

Therefore, the dimensions of the garden plot are 9 feet by 11 feet.