Question

2Louise measured the perimeter of her rectangular scrapbook to be 144 cm. If the scrapbook is 39 cm wide, how long is thescrapbook?OA. 33 cmOB. 66 cmOC. 72 cmOD. 31 cm行ResetSubmit

Answer 1

Given the word problem, we can deduce the following information:

1. The perimeter of her rectangular scrapbook to be 144 cm.

2. The scrapbook is 39 cm wide.

To determine the length of the scrapbook, we use the formula for the perimeter of a rectangle as shown below:

`P=2(l+w)`

where:

P=Perimeter =144 cm

l=length

w=width =39 cm

We plug in what we know:

`\begin{gathered} P=2(l+w) \\ 144=2(l+39) \\ Simplify\text{ and rearrange} \\ (144)/(2)=l+39 \\ 72=l+39 \\ l=72-39 \\ Calculate \\ l=33\text{ cm} \end{gathered}`

Therefore, the answer is:

OA. 33 cm