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Josephine is building a community playground that needs to be fenced. The perimeter of the fence is 54 feet, and the width of the playground is 12 feet. Use the perimeter formula [tex]P = 2L + 2W[/tex] to find the length of the rectangular yard in inches. (1 foot = 12 inches)

Options:
A. 15 in.
B. 30 in.
C. 42 in.
D. 180 in.

Answer :

Using the perimeter formula, the length of the rectangular yard is 180 inches when the width is 12 feet.

First, substitute the given values into the perimeter formula:

Perimeter (P) = 54 feet

Width (W) = 12 feet

54 = 2L + 2(12)

Now, let's solve for the length (L):

54 = 2L + 24

Subtract 24 from both sides:

54 - 24 = 2L

30 = 2L

Divide both sides by 2:

30 / 2 = L

15 = L

Now, since 1 foot equals 12 inches, to convert the length from feet to inches:

15 feet × 12 inches/foot = 180 inches

So, the length of the rectangular yard in inches is 180 inches. Therefore, the correct answer is 180 in.

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