Answer
Width of the rectangular field is\[360\text{ ft}\]and the length is\[160\text{ ft}\].
Work Step by Step
The length and width of a rectangular field will be determined by finding the perimeter of the field in the feet. Computation of length and width of the field by the perimeter (P) can be done by using the formula as shown below:
\[\begin{align}
& P=2l+2w \\
& =2\left( l+w \right)
\end{align}\].
Length, l is 200 more than the width, w. Compute the length and width of the field by substituting the given values in the above formula as shown below:
\[\begin{align}
& 1,040\text{ ft}=2\left( \left( 200\text{ ft}+w \right)+w \right) \\
& 1,040\text{ ft}=2\left( 200\text{ ft}+2w \right) \\
& =400\text{ ft}+4w \\
& w=\frac{1,040\text{ ft}-400\text{ ft}}{4}
\end{align}\]
\[\begin{align}
& =\frac{60\text{ ft}}{{}} \\
& =160ft
\end{align}\]
Compute the length (l) of the field as mentioned below:
\[\begin{align}
& l=\text{200 ft}+w \\
& =200\text{ ft}+160\text{ ft} \\
& =360\text{ ft}
\end{align}\]
Hence, the length and width of a rectangular field is\[360\text{ ft}\]and \[160\text{ ft}\], respectively.
