Question

Длина забора огораживающего квадратный участок земли-108м.Найди размеры участка. На этом участке построили дом с квадратным основанием,сторона которого составляет одну треть стороны участка.найди размеры дома. Треть свободной от построек земли занята огородом.Какова площадь огорода.

Answer 1

1)108:4=27 (м) длина 1 стороны участка
2)27:3=9(м) 1сторона дома
3)9*4=36(м)размер дома
4)108-36=72(м) свободная територия
5)72:3=24М размер огорода

Answer 2

Calculation of the Size of the Land

To find the dimensions of the land, we need to use the information given about the length of the fence surrounding the square plot of land. The length of the fence is given as 108 meters.

Let's assume that the sides of the square plot of land are represented by the variable 'x'. Since all sides of a square are equal, we can write the equation:

4x = 108

To find the value of 'x', we divide both sides of the equation by 4:

x = 108 / 4

Simplifying the equation, we find:

x = 27

Therefore, the sides of the square plot of land are 27 meters each.

Calculation of the Size of the House

According to the information provided, a house with a square base was built on the plot of land. The length of each side of the house is one-third of the length of each side of the plot of land.

Let's calculate the length of each side of the house. We know that the length of each side of the plot of land is 27 meters. Therefore, the length of each side of the house can be calculated as follows:

(1/3) * 27 = 9

Therefore, the length of each side of the house is 9 meters.

Calculation of the Area of the Garden

According to the information provided, one-third of the land is occupied by the house, and the remaining land is the garden.

To calculate the area of the garden, we need to subtract the area of the house from the total area of the land.

The area of the land can be calculated by squaring the length of one side of the land:

Area of the land = (27)^2 = 729 square meters

The area of the house can be calculated by squaring the length of one side of the house:

Area of the house = (9)^2 = 81 square meters

Therefore, the area of the garden can be calculated by subtracting the area of the house from the area of the land:

Area of the garden = Area of the land - Area of the house = 729 - 81 = 648 square meters.

Therefore, the area of the garden is 648 square meters.

Summary: - The dimensions of the plot of land are 27 meters by 27 meters. - The dimensions of the house are 9 meters by 9 meters. - The area of the garden is 648 square meters.

Please note that the calculations provided are based on the information given in the question and may not reflect the actual dimensions or area of the land, house, or garden.