Question

The width of a rectangle is 8 inches and the perimeter is 26 inches. What is the length of the rectangle?10 in.5 in.9 in.18 in.

Answer 1

The formula for the perimeter (P) of a rectangle is,

`P=2(w+l)`

Given:

`\begin{gathered} w=width=8inches \\ l=length=? \\ P=perimeter=26imches \end{gathered}`

Substitute w = 8, P = 26 into the formula and solve for l

`\begin{gathered} 26=2(8+l) \\ Divide\text{ both sides by} \\ (26)/(2)=(2(8+l))/(2) \\ 13=8+l \\ Collect\text{ like terms} \\ 13-8=l \\ \therefore l=5inches \end{gathered}`

Hence, the answer is