Question

anita is sewing a lace edge around a rectangular quilt. she will need 162 inches of lace to do the entire quilt. if the quilt is 45 inches wide, how long is the quilt?

a. 34 inches

b. 36 inches

c. 81 inches

d. 72 inches

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. Here $P=162$ inches and $w = 45$ inches.

Step2: Substitute values into formula

$162=2(l + 45)$.

Step3: Solve for $l$

First, divide both sides of the equation by 2: $\frac{162}{2}=l + 45$, so $81=l + 45$. Then subtract 45 from both sides: $l=81 - 45$.
$l = 36$ inches.

Answer:

B. 36 inches