you have 200 feet of fencing to enclose a rectangular plot that borders on a river. if you do not fence the…

you have 200 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?\nthe width, labeled x in the figure, is 50 feet.\n(type an integer or decimal.)\nthe length, labeled 200 - 2x in the figure, is □ feet.\n(type an integer or decimal.)

you have 200 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?\nthe width, labeled x in the figure, is 50 feet.\n(type an integer or decimal.)\nthe length, labeled 200 - 2x in the figure, is □ feet.\n(type an integer or decimal.)

Answer

Explanation:

Step1: Substitute the value of (x)

Given (x = 50), and the length formula (l=200 - 2x)

Step2: Calculate the length

Substitute (x = 50) into (l = 200-2x) [ \begin{align*} l&=200-2\times50\ &=200 - 100\ &=100 \end{align*} ]

Answer:

The length is (100) feet.