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4. The length of your rectangular vegetable garden
is 15 times its width. You used 160 ft of fencing to
surround the garden. How much area do you have
for planting?
A. 150 ft2
B. 800 ft2
C. 375 ft2
D. 1600 ft2

Sagot :

MrRoyal

The area of a garden is the amount of space the garden occupies

The area of the garden is (c) 375 ft^2

The given parameters are:

[tex]L = 15 \times W[/tex] --- Length equals 15 times width

[tex]Perimeter=160[/tex]

The perimeter of a rectangle is:

[tex]Perimeter= 2(L + W)[/tex]

Substitute known values

[tex]160= 2(15 \times W + W)[/tex]

Divide through by 2

[tex]80= 15 \times W + W[/tex]

[tex]80= 15W + W[/tex]

[tex]80= 16W[/tex]

Divide through by 16

[tex]5= W[/tex]

Rewrite as:

[tex]W =5[/tex]

The area of a rectangle is:

[tex]Area = L \times W[/tex]

Substitute [tex]L = 15 \times W[/tex]

[tex]Area = 15 \times W \times W[/tex]

Substitute [tex]W =5[/tex]

[tex]Area = 15 \times 5 \times 5[/tex]

[tex]Area = 375[/tex]

Hence, the area of the garden is (c) 375 ft^2

Read more about areas at:

https://brainly.com/question/2077866

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