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9. the perimeter of a rectangle is 22 cm. the length of the rectangle i…

Question

  1. the perimeter of a rectangle is 22 cm. the length of the rectangle is 6 cm. what is the width of the rectangle?

Explanation:

Step1: Recall perimeter formula

The perimeter formula of a rectangle is $P = 2(l + w)$, where $P$ is perimeter, $l$ is length and $w$ is width. Given $P=22$ cm and $l = 6$ cm.

Step2: Substitute values into formula

We have $22=2(6 + w)$.

Step3: Solve for $w$

First, divide both sides of the equation by 2: $\frac{22}{2}=\frac{2(6 + w)}{2}$, which simplifies to $11=6 + w$. Then subtract 6 from both sides: $w=11 - 6$.

Answer:

$5$ cm