Given a perimeter of 180, how do you find the length and the width of the rectangle of maximum area?
Given a perimeter of 180, the length and width of the rectangle with maximum area are 45 and 45.
The area of the rectangle
This equation represents a parabola that opens down. The maximum value of the area is at the vertex.
Rewriting the area equation in the form
The formula for the
The maximum area is found at
Given a perimeter of 180, the dimensions of the rectangle with maximum area are 45x45.