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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
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