Question

a rectangle has a width of 40 centimeters and a perimeter of 176 centimeters. what is the rectangles length? the length is cm.

Explanation:

Step1: Recall perimeter formula

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

Step2: Substitute known values

We know $P=176$ cm and $w = 40$ cm. So, $176=2(l + 40)$.

Step3: Solve for $l$

First, divide both sides by 2: $\frac{176}{2}=l + 40$, which gives $88=l + 40$. Then subtract 40 from both sides: $l=88 - 40$.

Answer:

48