EasyCalculusca-062

Rectangle Max Area

Problem

A rectangle has a fixed perimeter P. Maximize its area A = w * h subject to 2*(w + h) = P.

The optimum is a square, so return (P / 4)^2. Assume P >= 0.

Hint

Substitute h = P/2 - w into the area and maximize the resulting quadratic.

case 1

in: [20]

expected: 25

case 2

in: [4]

expected: 1

case 3

in: [0]

expected: 0

case 4

in: [10]

expected: 6.25

case 5

in: [2.4]

expected: 0.36

Starter codePython

def max_rectangle_area(perimeter):
    # Your code here
    pass

5 test cases · run your code against them in the editor