Question

Вишнёвый сад площадью 80 м2 имеет форму прямоугольника известно что одна его сторона в 5 раз больше какие размеры будут у сторон данного сада на карте, масштаб которой 1:100? меньшая сторона-_____см большая сторона-_____см помогите плиз

Answer 1

Ответ:

Меньшая сторона  4 см

Большая сторона 20 см

Пошаговое объяснение:

одна сторона х другая 5х

5х*х=80

х*х=16

х=4м

5х=20м

Масштаб 1:100

1м ---1см

Меньшая сторона  4 см

Большая сторона 20 см

Answer 2

Problem Analysis

We are given that a cherry garden has an area of 80 m² and has the shape of a rectangle. It is also known that one of its sides is 5 times larger than the other side. We need to determine the dimensions of the garden on a map with a scale of 1:100.

Solution

Let's assume the smaller side of the garden is x meters. According to the given information, the larger side will be 5x meters.

The area of a rectangle is given by the formula: Area = length × width.

In this case, the area of the garden is 80 m², so we can write the equation:

80 = x × 5x

Simplifying the equation:

80 = 5x²

Dividing both sides of the equation by 5:

16 = x²

Taking the square root of both sides:

x = 4

So, the smaller side of the garden is 4 meters, and the larger side is 5 times that, which is 20 meters.

To determine the dimensions of the garden on a map with a scale of 1:100, we need to multiply the actual dimensions by the scale factor.

The smaller side on the map will be:

4 meters × 100 = 400 centimeters

The larger side on the map will be:

20 meters × 100 = 2000 centimeters

Therefore, the dimensions of the garden on the map will be: - Smaller side: 400 centimeters - Larger side: 2000 centimeters

Answer

The smaller side of the cherry garden is 400 centimeters, and the larger side is 2000 centimeters on the map with a scale of 1:100.