Question

larry is building a frame around a rectangular picture. he will need 44 inches of wood to do the entire frame. if the frame is 14 inches long, how wide is the frame?

a. 6 inches

b. 8 inches

c. 16 inches

d. 22 inches

Explanation:

Step1: Recall perimeter formula

The perimeter formula of a rectangle is $P = 2(l + w)$, where $P$ is perimeter, $l$ is length and $w$ is width. Here $P = 44$ inches and $l=14$ inches.

Step2: Substitute values into formula

$44 = 2(14 + w)$

Step3: Solve for $w$

First, divide both sides by 2: $\frac{44}{2}=14 + w$, so $22=14 + w$. Then subtract 14 from both sides: $w=22 - 14$.

Answer:

A. 6 inches