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4. suppose that you know the perimeter of a rectangle and its width. wh…

Question

  1. suppose that you know the perimeter of a rectangle and its width. which formula could you use to find the length of the rectangle? a. $a = lw$ b. $p = 2(l + w)$ c. $v = lwh$ d. $c = 3.14d$

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a rectangle is given by $P = 2(l + w)$, where $l$ is length and $w$ is width.

Step2: Solve for length

Starting with $P = 2(l + w)$, first divide both sides by 2: $\frac{P}{2}=l + w$. Then subtract $w$ from both sides to get $l=\frac{P}{2}-w$. So the perimeter formula can be used to find length given perimeter and width.

Answer:

b. $P = 2(l + w)$