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

Answer:

$\ 160$

Step-by-step 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:

$80\times2 = \ 160$

∴ The entire fence costs $\ 160$.

Hope this helps :)