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3. lu is making a fence for her rectangular garden. if she used 24 ft. …

Question

  1. lu is making a fence for her rectangular garden. if she used 24 ft. fencing and the garden is 3 ft. wide, what is its length?

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a rectangle is $P = 2(l + w)$, where $l$ is length and $w$ is width. Here $P=24$ ft and $w = 3$ ft.

Step2: Substitute values into formula

$24=2(l + 3)$

Step3: Solve for $l$

First, divide both sides by 2: $\frac{24}{2}=l + 3$, so $12=l + 3$. Then subtract 3 from both sides: $l=12 - 3$.

Answer:

$9$ ft