Question

Три поля займають площу 124,2га, причому площа другого поля на 37,4га більша ніж площа першого, а площа третього поля удвічі більша ніж першого. Скільки гектарів займає кожне поле?

Answer 1

Ответ:

Пошаговое объяснение:

x - перше поле

х+37.4 - друге поле

2х - третє поле

х+х+37.4+2х=124.2

4х=124.2-37.4

4х=86.8

х=21.7- перше

21.7+37.4=59.1 - друге

21.7*2=43.4 - третє

Answer 2

#### Calculation of Field Areas To calculate the area of each field, let's assign variables to represent the areas of the fields. Let's call the area of the first field 'x' hectares. According to the given information, the second field is 37.4 hectares larger than the first field, and the third field is twice the size of the first field. So, the area of the second field can be represented as 'x + 37.4' hectares, and the area of the third field can be represented as '2x' hectares. To find the values of 'x', 'x + 37.4', and '2x', we can set up an equation based on the total area of the three fields, which is given as 124.2 hectares. The equation can be written as: x + (x + 37.4) + 2x = 124.2 Simplifying the equation: 4x + 37.4 = 124.2 Subtracting 37.4 from both sides: 4x = 86.8 Dividing both sides by 4: x = 21.7 Now that we have the value of 'x', we can calculate the areas of each field: - The first field: **21.7 hectares** - The second field: **21.7 + 37.4 = 59.1 hectares** - The third field: **2 * 21.7 = 43.4 hectares** Therefore, each field occupies the following areas: - The first field: **21.7 hectares** - The second field: **59.1 hectares** - The third field: **43.4 hectares** Please note that the calculations are based on the given information and may not be accurate if there are any additional factors or conditions not mentioned.