A square and a rectangle have the same perimeter – 36 cm. Which quadrangle is larger if the rectangle is 10 cm long?

If the length of the rectangle is 10 cm, then we find the width of the rectangle:

a = P / 2 – b, where a is the width of the rectangle, P is the perimeter of the rectangle, b is the length of the rectangle.

1) a = 36/2 – 10 = 18 – 10 = 8 (cm) – the width of the rectangle;
In order to find the area of ​​a square, you need to find the side of the square. Because all sides of a square are equal:

2) 36: 4 = 9 (cm) – side of the square;

3) 9 ^ 2 = 9 * 9 = 81 (cm ^ 2) – the area of ​​the square;

4) 10 * 8 = 80 (cm ^ 2) – the area of ​​the rectangle;

5) 81 – 80 = 1 (cm ^ 2) – the area of ​​the square is larger than the area of ​​the rectangle.

Answer: 1 cm ^ 2 the area of ​​the square, more than the area of ​​the rectangle.