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4. write as a mathematical expression and solve. the perimeter of a rec…

Question

  1. write as a mathematical expression and solve. the perimeter of a rectangle is 26 inches. if the length of the rectangle is 6 inches, find the width. 20 inches 7 inches 14 inches 13 inches

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 $P = 26$ inches and $l=6$ inches.

Step2: Substitute values into formula

$26 = 2(6 + w)$

Step3: Solve for $w$

First, divide both sides by 2: $\frac{26}{2}=\frac{2(6 + w)}{2}$, which simplifies to $13=6 + w$. Then subtract 6 from both sides: $w=13 - 6$.

Answer:

B. 7 inches