Question

Парк имеет форму квадрата. Территорию квадрата занимают сад, озеро, игровая площадка и кафе. Озеро и сад имеют форму квадрата, а игровая площадка и кафе прямоугольные. Периметр озера 120 м, а периметр сада 200 м. Найдите периметр игровой площадки.

Answer 1

1)  а = Р/4 = 120:4 = 30 м - сторона озера

2) b = 200:5 = 50 м - сторона сада.

Делаем схему всего парка. Рисунок к задаче в приложении.

3) 50 + 30 = 80 м - сторона квадратного парка.

Остались незаполненными два прямоугольника - одинаковых размеров 30*50. Размеры и кафе и спортплощадки одинаковые.

4) Р = 2*(30 + 50) = 160 м - периметр площадки - ОТВЕТ (и кафе такой же)

Answer 2

#### Calculation of the Perimeter of the Playground To find the perimeter of the playground, we need to determine the length of all four sides of the rectangular playground. Given that the park is in the shape of a square, and the lake and garden within the park are also square, we can assume that the playground is adjacent to the lake and garden, forming a larger square. Let's denote the side length of the lake and garden as **x**. Therefore, the perimeter of the lake and garden is 4x. We are given that the perimeter of the lake is 120 meters, so we can set up the equation: 4x = 120 Solving for x, we find that x = 30 meters. Since the playground is adjacent to the lake and garden, it shares two sides with them. Therefore, the length of the playground is also 30 meters. Now, let's find the length of the other two sides of the playground. We are given that the perimeter of the garden is 200 meters, so we can set up the equation: 4x = 200 Solving for x, we find that x = 50 meters. Since the garden is square, the length of the other two sides of the playground is also 50 meters. Therefore, the perimeter of the playground is: 2 * (30 + 50) = 2 * 80 = **160 meters**.