Question

10) Реши задачу. На двух участках общей площадью 100 м2 весной высадили рассаду помидоров. На каждом квадратном метре высажива- ли одинаковое число кустиков. На одном ПРЕДЛОЖИ участке – 140 кустиков, а на втором — 260. Найди площадь каждого участка. ПОДЕЛИСЬ ПРИДУМАЙ - ​

Answer 1

Ответ:

35 м²   и  65 м²

Пошаговое объяснение:

140 + 260 = 400 (кустов) высадили на двух участках

400 : 100 = 4 (куста)  на 1 м²

140 : 4 = 35 (м²)  площадь первого участка

260 : 4 = 65 (м²)  площадь второго участка

Answer 2

Пошаговое объяснение:35² и 65²

140+260=400

400:100=4

140:4=35

260 :4=65

Answer 3

Problem Analysis

We are given two plots of land with a total area of 100 m². In the spring, tomato seedlings were planted on each plot, with the same number of plants per square meter. One plot has 140 plants, while the other has 260 plants. We need to find the area of each plot.

Solution

Let's assume that the number of plants per square meter is the same on both plots. We can set up a proportion to solve for the area of each plot.

Let x be the number of plants per square meter on each plot.

For the first plot, the number of plants is 140 and the area is unknown. We can set up the following proportion:

140 plants / x plants per square meter = area of the first plot / 100 m²

Similarly, for the second plot, the number of plants is 260 and the area is also unknown. We can set up the following proportion:

260 plants / x plants per square meter = area of the second plot / 100 m²

To solve for the area of each plot, we can cross-multiply and solve for the unknown areas.

Let's solve the first proportion:

140 / x = area of the first plot / 100

Cross-multiplying:

140 * 100 = x * (area of the first plot)

14,000 = x * (area of the first plot)

Now, let's solve the second proportion:

260 / x = area of the second plot / 100

Cross-multiplying:

260 * 100 = x * (area of the second plot)

26,000 = x * (area of the second plot)

We have two equations:

14,000 = x * (area of the first plot) (Equation 1) 26,000 = x * (area of the second plot) (Equation 2)

To find the area of each plot, we need to solve these equations simultaneously.

Let's divide Equation 2 by Equation 1:

26,000 / 14,000 = (x * (area of the second plot)) / (x * (area of the first plot))

Simplifying:

1.857 = area of the second plot / area of the first plot

Now, we can solve for the area of the second plot in terms of the area of the first plot:

area of the second plot = 1.857 * area of the first plot

Since the total area of both plots is 100 m², we can set up the following equation:

area of the first plot + area of the second plot = 100

Substituting the expression for the area of the second plot:

area of the first plot + 1.857 * area of the first plot = 100

Combining like terms:

2.857 * area of the first plot = 100

Solving for the area of the first plot:

area of the first plot = 100 / 2.857

Calculating:

area of the first plot ≈ 34.93 m²

Now, we can find the area of the second plot by substituting the value of the area of the first plot into the expression we derived earlier:

area of the second plot = 1.857 * 34.93

Calculating:

area of the second plot ≈ 64.81 m²

Answer

The area of the first plot is approximately 34.93 m², and the area of the second plot is approximately 64.81 m².

Note: The calculations are approximate due to rounding.