Question

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5.) a rectangle has an area of 11 square inches. if its length and width are both whole numbers, what is the perimeter of this rectangle in units of inches? remember: perimeter is the total length that surrounds a figure. show how you found your answer.

Explanation:

Step1: Recall area formula

The area formula for a rectangle is $A = l\times w$, where $A = 11$ square - inches. Since 11 is a prime number, its only whole - number factors are 1 and 11. So, $l = 11$ inches and $w = 1$ inch (or vice - versa).

Step2: Recall perimeter formula

The perimeter formula for a rectangle is $P=2(l + w)$. Substitute $l = 11$ inches and $w = 1$ inch into the formula: $P = 2(11 + 1)$.

Step3: Calculate perimeter

First, calculate the sum inside the parentheses: $11+1 = 12$. Then, multiply by 2: $P=2\times12 = 24$ inches.

Answer:

24 inches