Answer
The width and the length of a basketball court is\[28\text{ m}\]and \[15\text{ m}\], respectively.
Work Step by Step
The length and width of a rectangular field will be determined by finding the perimeter of the field in the meters. Computation of length and width of the field by the perimeter can be done by using the formula given below:
\[\begin{align}
& P=2l+2w \\
& =2\left( l+w \right)
\end{align}\].
Length, l is 13m more than the width, w. Compute the length and width as shown below:
\[\begin{align}
& 86\text{ m}=2\left( \left( 13\text{ m}+w \right)+w \right) \\
& 86\text{ m}=26\text{ m}+2w+2w \\
& 86\text{ m}=26\text{ m}+4w \\
& w=\frac{86\text{ m}-26\text{ m}}{4}
\end{align}\]
\[\begin{align}
& w=\frac{6\text{m}}{{}} \\
& =15\text{ m}
\end{align}\]
Compute the length of the field as mentioned below:
\[\begin{align}
& l=13\text{ m}+w \\
& =13\text{ m}+15\text{ m} \\
& =28\text{ m}
\end{align}\]
Hence, the length and width of a rectangular field are\[28\text{ m}\] and\[15\text{ m}\], respectively.