Question

Театральная площадь в 4 раза больше Воскресенской,Лубянская на 10.000 м2 меньше Театральной.Вычислите территории,занимаемые каждой площадью,если известно,что Лубянская и Воскресенская площади вместе занимают 50000 м2

Answer 1

Пусть Воскресенская Х, тогда Театральная 4Х, а Лубянская 4Х-10000. Известно, что Лубянская + Воскресенская = 50000. Составим и решим уравнение.
Х+(4Х-10000)=50000;
5Х-10000=50000;
5Х=60000;
Х= 60000/5
Х= 12000.
Воскресенская 12000м2, Театральная 48000м2, Лубянская 38000м2

Answer 2

Calculation of Theater Square, Resurrection Square, and Lubyanka Square Areas

To calculate the areas occupied by each square, we need to use the given information:

- Theater Square is 4 times larger than Resurrection Square. - Lubyanka Square is 10,000 m² smaller than Theater Square. - Lubyanka Square and Resurrection Square together occupy 50,000 m².

Let's assign variables to the areas of each square: - Theater Square: T - Resurrection Square: R - Lubyanka Square: L

Based on the given information, we can set up the following equations:

1. Theater Square is 4 times larger than Resurrection Square: T = 4R

2. Lubyanka Square is 10,000 m² smaller than Theater Square: L = T - 10,000

3. Lubyanka Square and Resurrection Square together occupy 50,000 m²: L + R = 50,000

To solve these equations, we can substitute the value of T from equation 1 into equations 2 and 3:

Substituting T = 4R into equation 2: L = 4R - 10,000

Substituting T = 4R into equation 3: 4R - 10,000 + R = 50,000 5R - 10,000 = 50,000 5R = 60,000 R = 12,000

Now that we have the value of R, we can substitute it back into equation 1 to find the value of T: T = 4R = 4 * 12,000 = 48,000

Finally, we can substitute the values of R and T into equation 3 to find the value of L: L + R = 50,000 L + 12,000 = 50,000 L = 50,000 - 12,000 = 38,000

Therefore, the areas occupied by each square are as follows: - Theater Square: 48,000 m² - Resurrection Square: 12,000 m² - Lubyanka Square: 38,000 m²

Please note that the calculations are based on the given information and the assumption that the areas of the squares are measured in square meters.