Question

The perimeter of a rectangle is 32 in

Answer 1

The perimeter of a rectangle is given by the formula

`\begin{gathered} P_(rec\tan gle)=\text{ 2(L+B)} \\ \text{where L is the length and B is the breadth} \end{gathered}`

From the question, we were given the perimeter P=32inches and the length L=11inches

To calculate for the unknown length, which is the breadth, we substitute the value of P and L into the formula

`\begin{gathered} P_(rec\tan gle)=2(L+B) \\ \text{Make B the subject of the fomula} \\ (P)/(2)=(2(L+B))/(2) \\ (P)/(2)=L+B \\ B=(P)/(2)-L \end{gathered}`
`\begin{gathered} B=((32)/(2)-11)\text{inches} \\ B=(16-11)\text{inches} \\ B=\text{ 5inches} \end{gathered}`

Hence, the unknown side is 5inches