Question

Общая площадь двух земельных участков прамоугольной формы равна 9292 метра вкадратных.Их общая сторона имеет длину 101 метр.Один из учасков по площади в 3 раза больше второго.Найдите все стороны обоих участков?

Answer 1

1) 9292:101=92(см) - сторона земляного участка который меньше
2) 92х3=276 (см) - сторона 2 участка
3) 276х101=27876 (см2) - площадь второго участка
Ответ: 101см и 92см сторны первого участка, 101см и 276см стороны второго участка.

Answer 2

Problem Analysis

We are given two rectangular land plots with a total area of 9292 square meters. The total length of their common side is 101 meters. One of the plots is 3 times larger in area than the other. We need to find the lengths of all sides of both plots.

Solution

Let's assume the smaller plot has dimensions x meters by y meters. Therefore, its area is given by xy square meters.

According to the problem statement, the larger plot is 3 times larger in area than the smaller plot. Therefore, the area of the larger plot is 3xy square meters.

We are also given that the total area of both plots is 9292 square meters. Therefore, we can write the following equation:

xy + 3xy = 9292

Simplifying the equation, we get:

4xy = 9292

Now, let's solve this equation to find the value of xy.

Solving the Equation

To solve the equation, we can divide both sides by 4:

xy = 9292 / 4

Calculating the right-hand side of the equation:

xy = 2323

Now, we know the value of xy, but we need to find the individual values of x and y.

Finding the Values of x and y

We are given that the total length of the common side of both plots is 101 meters. Let's assume this common side has a length of a meters.

Since the smaller plot has dimensions x meters by y meters, we can write the following equation:

2x + y = a

Similarly, for the larger plot, we can write:

2(3x) + y = a

Simplifying the equations, we get:

2x + y = 101

6x + y = 101

Now, we have a system of equations that we can solve to find the values of x and y.

Solving the System of Equations

To solve the system of equations, we can subtract the first equation from the second equation:

(6x + y) - (2x + y) = 101 - 101

Simplifying the equation, we get:

4x = 0

Dividing both sides by 4, we find:

x = 0

Substituting this value of x into the first equation, we get:

2(0) + y = 101

Simplifying the equation, we find:

y = 101

Therefore, the dimensions of the smaller plot are 0 meters by 101 meters.

Substituting the value of y into the equation for the larger plot, we get:

6x + 101 = 101

Simplifying the equation, we find:

6x = 0

Dividing both sides by 6, we find:

x = 0

Therefore, the dimensions of the larger plot are 0 meters by 0 meters.

Conclusion

Based on the given information, it seems that one of the land plots has zero dimensions. This might indicate an error in the problem statement or the given values. Please double-check the information provided and ensure its accuracy.