Question

louise measured the perimeter of her rectangular scrapbook to be 144 cm. if the scrapbook is 37 cm wide, how long is the scrapbook?

a. 70 cm

b. 33 cm

c. 35 cm

d. 72 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. We know $P=144$ cm and $w = 37$ cm.

Step2: Substitute values into formula

$144=2(l + 37)$.

Step3: Solve for $l$

First, divide both sides of the equation by 2: $\frac{144}{2}=l + 37$, so $72=l + 37$. Then subtract 37 from both sides: $l=72 - 37$.
$l = 35$ cm

Answer:

C. 35 cm