Given a rope of length 𝑥 , what is the largest square (by area) that can be built given that a side of the square, 𝑠 , can only be integer values?

Question

Question 1 We have a rope and want to cut the rope into four pieces to make a square. Given a rope of length 𝑥 , what is the largest square (by area) that can be built given that a side of the square, 𝑠 , can only be integer values? Units of measurement can be ignored. We are only interested in the numerical value of the solution.

Largest Square Figure 1: Area of the largest square enclosed by a rope.

Function specifications

Argument(s):

x (float) → the length of the rope. Return:

area (int) → the area of the square formed by the rope. 💡HINT💡

The perimeter of the square cannot exceed the length of the rope.

I haven't tried anything, it gets me confused

Expected output

largest_square(12) == 9
largest_square(41.5) == 100
largest_square(324) == 6561

Please help me

Answer 1

Does the following program make sense to you?

>>> def largest_square(rope):
    side = rope / 4
    area = side * side
    return area

>>> largest_square(5)
1.5625
>>> largest_square(8)
4.0