Question

you have 850 feet of fencing to enclose a rectangular plot that borders on a river. if you do not fence the side along the river, find the length and width of the plot that will maximize the area. what is the largest area that can be enclosed?

the width, labeled x in the figure, is 212.5 feet.
(type an integer or decimal.)

the length, labeled 850 - 2x in the figure, is □ feet.
(type an integer or decimal.)

Explanation:

Step1: Find the length

Given the width \(x = 212.5\) feet and the formula for the length \(l=850 - 2x\).
Substitute \(x = 212.5\) into the formula:
\(l=850-2\times212.5\)

Step2: Calculate the value

First, calculate \(2\times212.5 = 425\).
Then, \(l=850 - 425\)
\(l = 425\)

Answer:

The length is \(425\) feet.