Answer
The dimensions of a rectangular field are\[120\text{ yd}\]and\[24\text{ yd}\], 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 yard.
Computation of length and width of the field by the perimeter can be done by using the formula,\[P=2l+2w\]. Length, l is 5 times of the width, w. Compute the length and width as shown below:
\[\begin{align}
& P=2l+2w \\
& =2\left( l+w \right)
\end{align}\]
Substitute the values in the above formula as mentioned below:
\[\begin{align}
& 288\text{ yd}=2\times \left( 5w+w \right) \\
& 288\text{ yd}=12w \\
& w=\frac{288\text{ yd}}{12} \\
& =24\text{ yd}
\end{align}\]
Compute the length of the field as mentioned below:
\[\begin{align}
& l=5\times w \\
& =5\times 24\text{ yd} \\
& =120\text{ yd}
\end{align}\]
Hence, the length and width of a rectangular fields are\[120\text{ yd}\]and\[24\text{ yd}\].