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a rectangle has a width of 7 feet and a length of 132 inches Find the perimeter of the rectangle both in feet and inches

User Rsantiago
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Final answer:

To find the perimeter of the rectangle in both feet and inches, convert the length from inches to feet; the length is 11 feet, and the width remains 7 feet. Use the formula for the perimeter of a rectangle: P = 2(length) + 2(width), giving you 36 feet or 432 inches.

Step-by-step explanation:

To find the perimeter of the rectangle both in feet and inches, we first need to ensure both dimensions are in the same units. Since the width is given in feet and the length in inches, we will convert the length from inches to feet.

1 foot = 12 inches
Therefore, to convert 132 inches to feet, you divide by 12:
132 inches ÷ 12 = 11 feet.

Now that we have both dimensions in feet, the width is 7 feet and the length is 11 feet.

The formula for the perimeter of a rectangle is:
P = 2(length) + 2(width)
Applying the dimensions:
P = 2(11 feet) + 2(7 feet)
P = 22 feet + 14 feet
P = 36 feet.

To obtain the perimeter in inches, we multiply the total perimeter in feet by the number of inches per foot:

36 feet × 12 inches/foot = 432 inches.

The perimeter of the rectangle is 36 feet or 432 inches.

User Majid Azimi
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