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the perimeter of a rectangle is 190 meters. the length of the rectangle…

Question

the perimeter of a rectangle is 190 meters. the length of the rectangle is 55 meters. how wide is 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 $P=190$ meters and $l = 55$ meters.

Step2: Substitute values into formula

Substitute into $P = 2(l + w)$: $190=2(55 + w)$.

Step3: Solve for $w$

First, divide both sides of the equation by 2: $\frac{190}{2}=55 + w$, so $95=55 + w$. Then subtract 55 from both sides: $w=95 - 55=40$ meters.

Answer:

D. 40 m