Question

A woman wishes to enclose a rectangular garden with​ fencing, using the side of her garage as one side of the rectangle. A neighbor gave her 2727 feet of​ fencing, and she wants the length of the garden along the garage to be 66 feet more than the width. What are the dimensions of the​ garden?

Answer 1

Length =
`13\ \text{ft}`

Width =
`7\ \text{ft}`

Explanation:

Let

Breadth of the garden = x

According to the question length of the garden = 6+x

Fencing given for the rectangular garden = 27 ft

Perimeter of the garden is given by

`6+x+x+x=27\\\Rightarrow 6+3x=27\\\Rightarrow x=(27-6)/(3)\\\Rightarrow x=7\ \text{ft}`

Here the garden's length will be along the garage so fencing will not done there. So length will be added only once in the perimiter.

The length of the garden is
`6+7 = 13\ \text{ft}` and the width is
`7\ \text{ft}`.