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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?

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 fe class=

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goodLizard

Answer:

[tex]\$160[/tex]

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 = [tex]lw[/tex] (formula for the area of a rectangle)

[tex]364=14l[/tex]

[tex]l=26[/tex] feet

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

Perimeter [tex]= 2l+2w[/tex] (formula for the perimeter of a rectangle)

[tex]=2(26)+2(14)[/tex]

[tex]=80[/tex] feet

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

[tex]80\times2 = \$160[/tex]

∴ The entire fence costs [tex]\$160[/tex].

Hope this helps :)

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