Question

the perimeter of a rectangle is 110 cm. if the length is 27 cm, how wide is the rectangle? a) first write an equation you can use to answer this question. use (w) as your variable in the equation. the equation is enter your answer. b) solve your equation in part a to find the width of the rectangle. enter your answer cm wide.

Explanation:

Step1: Recall perimeter formula

The perimeter formula of a rectangle is $P = 2(l + w)$, where $P$ is the perimeter, $l$ is the length and $w$ is the width. Given $P=110$ cm and $l = 27$ cm, we substitute these values into the formula: $110=2(27 + w)$.

Step2: Simplify the equation

First, divide both sides of the equation $110 = 2(27 + w)$ by 2: $\frac{110}{2}=\frac{2(27 + w)}{2}$, which simplifies to $55=27 + w$.

Step3: Solve for the width

Subtract 27 from both sides of the equation $55=27 + w$: $w=55 - 27$.

Answer:

$28$