2. Периметр квадрата равен 160. Найдите площадь квадрата.

Дано: Периметр квадрата P = 160.

Решение:

1. Найдем длину стороны квадрата: The perimeter of a square is given by the formula P = 4a, where 'a' is the side length.
2. So, to find the side length, we divide the perimeter by 4: \[ a = \frac{P}{4} = \frac{160}{4} = 40 \]
3. The area of a square is given by the formula A = a^2.
4. Now, we calculate the area: \[ S = a^2 = 40^2 = 1600 \]

Ответ: 1600