Question

Emma wants to build a fence around the perimeter of her lawn. Each foot of fence costs $2. The rectangular lawn has an area of 364 square feet and a width of 14 feet. How much will the entire fence cost?

Answer 1

`\$160`

Explanation:

To find the cost of the entire fence, we need to first determine the lawn's length before calculating its perimeter.

Area of rectangular lawn =
`lw` (formula for the area of a rectangle)

`364=14l`

`l=26` feet

Now that we have the lawn's length and width, we can calculate the perimeter:

Perimeter
`= 2l+2w` (formula for the perimeter of a rectangle)

`=2(26)+2(14)`

`=80` feet

Since each foot of lawn costs $2, then the cost of the entire fence will be:

`80*2 = \$160`

∴ The entire fence costs
`\$160`.

Hope this helps :)