Rectangle

A class bundles some values with the questions you can ask about them. Write a class Rectangle that remembers a rectangle's width and height, and can tell its area, its perimeter, and whether it is a square.

Implement the class Rectangle:

• Rectangle(width, height) creates a rectangle with the given sizes.
• area() returns the area of the rectangle: its width times its height.
• perimeter() returns the perimeter: the length all the way around, twice the width plus twice the height.
• isSquare() returns true if the width and the height are equal, and false otherwise.

Each line of the input is one rectangle: its width and its height. The test code first creates a Rectangle for every line, then asks each of them, in order, for its area, its perimeter and whether it is a square, and prints the three answers on one line, the boolean as True or False. So each object must keep its own sizes. The starter code spells these names the way your language does (in Go and Rust, Rectangle is a struct with methods).

Example 1:

Input:
    Rectangle(3, 4)
Output: 12 14 False
Explanation: The area is 3 · 4 = 12. Going around, the sides are 3 + 4 + 3 + 4 = 14.
The width and the height differ, so it isn't a square.

Example 2:

Input:
    Rectangle(5, 5)
Output: 25 20 True
Explanation: 5 · 5 = 25, and 4 sides of 5 make 20. Both sizes are 5: a square is a rectangle with equal sides.

Example 3:

Input:
    Rectangle(2, 10)
    Rectangle(10, 2)
Output:
20 24 False
20 24 False
Explanation: Two objects, each with its own sizes. Turning a rectangle on its side changes neither its area nor its perimeter.

Constraints:

• 1 <= width, height <= 104
• At most 10 rectangles per test.