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Build a Polygon Area Calculator
In this project, you will use object-oriented programming to create a `Rectangle` class and a `Square` class. The `Square` class should be a subclass of `Rectangle` and inherit its methods and attributes.
**Objective:** Fulfill the user stories below and get all the tests to pass to complete the lab.
**User Stories:**
1. You should create a `Rectangle` class.
2. When a `Rectangle` object is created, it should be initialized with `width` and `height` attributes. The class should also contain the following methods:
- `set_width`: Sets the width of the rectangle.
- `set_height`: Sets the height of the rectangle.
- `get_area`: Returns area (\\( \text{width} \times \text{height} \\)).
- `get_perimeter`: Returns perimeter \\( 2(\text{width} + \text{height}) \\).
- `get_diagonal`: Returns diagonal \\( \sqrt{\text{width}^2 + \text{height}^2} \\).
- `get_picture`: Returns a string that represents the shape using lines of `*`. The number of lines should be equal to the height and the number of `*` in each line should be equal to the width. There should be a new line (`\n`) at the end of each line. If the width or height is larger than `50`, this should return the string: `Too big for picture.`.
- `get_amount_inside`: Takes another shape (square or rectangle) as an argument. Returns the number of times the passed in shape could fit inside the shape (with no rotations). For instance, a rectangle with a width of `4` and a height of `8` could fit in two squares with sides of `4`.
3. If an instance of a `Rectangle` is represented as a string, it should look like: `Rectangle(width=5, height=10)`.
4. You should create a `Square` class that subclasses `Rectangle`.
5. When a `Square` object is created, it should be initialized with a single side length. The `__init__` method should store the side length in both the `width` and `height` attributes from the `Rectangle` class.
6. The `Square` class should contain the following methods:
- `set_width`: Overrides the `set_width` method from the `Rectangle` class. It should set the width and height to the side length.
- `set_height`: Overrides the `set_height` method from the `Rectangle` class. It should set the width and height to the side length.
- `set_side`: Sets the height and width of the square equal to the side length.
7. The `Square` class should be able to access the `Rectangle` class methods.
8. If an instance of a `Square` is represented as a string, it should look like: `Square(side=9)`.
## Usage example
```py
rect = Rectangle(10, 5)
print(rect.get_area())
rect.set_height(3)
print(rect.get_perimeter())
print(rect)
print(rect.get_picture())
sq = Square(9)
print(sq.get_area())
sq.set_side(4)
print(sq.get_diagonal())
print(sq)
print(sq.get_picture())
rect.set_height(8)
rect.set_width(16)
print(rect.get_amount_inside(sq))
```
That code should return:
```bash
50
26
Rectangle(width=10, height=3)
**********
**********
**********
81
5.656854249492381
Square(side=4)
****
****
****
****
8
```
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main.sh
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