The region of the rectangle shape will be 52812.5 square meters.
<h3>What is the area of the rectangle?</h3>
Let W be the rectangle's width and L its length.
The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be
Area of the rectangle = L×W square units
A farmer with 650 meters of fencing wants to enclose a rectangular plot that borders a river.
The dimensions are x and 650 - 2x.
A = x(650 - 2x)
A = 650x - 2x²
Differentiate the function, then we have
A' = 0
650 - 4x = 0
x = 650 / 4
x = 162.5
Then the maximum area of the rectangle will be
A = 650 (162.5) - 2 (162.5)²
A = 52812.5 square meters
The maximum area of the rectangle will be 52812.5 square meters.
More about the area of the rectangle link is given below.
brainly.com/question/20693059
#SPJ1
