Question

Длина прямоугольника составляет 8/3 длины стороны квадрата, равной m метров, а ширина его составляет 3/4 стороны квадрата. Какой процент площадь квадрата составляет от площади прямоугольника?

Answer 1

Прямоугольник длина = 8/3m (м), ширина = 3/4 m (м)
квадрат cторона = m (м)

площадь прямоугольника 8/3 m * 3/4 m = 8/3 * 3/4 m² = 2m² (м²)
площадь квадрата m² (м²)

2m² - 100%
m²   - ?

площадь прямоугольника в 2 раза больше, значит, площадь квадрата составляет 100 : 2 = 50 % от площади прямоугольника

Answer 2

Calculation of the Rectangle's Dimensions

To find the dimensions of the rectangle, we are given that the length of the rectangle is 8/3 times the length of a square, and the width of the rectangle is 3/4 times the length of a square.

Let's assume the length of the square is m meters.

The length of the rectangle is then 8/3 * m meters, and the width of the rectangle is 3/4 * m meters.

Calculation of the Areas

To calculate the area of the square, we use the formula Area = side^2. In this case, the side of the square is m meters.

The area of the square is therefore m^2.

To calculate the area of the rectangle, we use the formula Area = length * width. In this case, the length of the rectangle is 8/3 * m meters, and the width of the rectangle is 3/4 * m meters.

The area of the rectangle is therefore (8/3 * m) * (3/4 * m).

Calculation of the Percentage

To find the percentage of the square's area compared to the rectangle's area, we divide the area of the square by the area of the rectangle and multiply by 100.

The percentage can be calculated using the formula:

Percentage = (Area of Square / Area of Rectangle) * 100

Substituting the values we calculated earlier:

Percentage = (m^2 / [(8/3 * m) * (3/4 * m)]) * 100

Simplifying the expression:

Percentage = (m^2 / (2m^2)) * 100

Simplifying further:

Percentage = (1/2) * 100

Therefore, the percentage of the square's area compared to the rectangle's area is 50%.

Please note that the above calculations are based on the given information and assumptions. If there are any additional details or constraints, please let me know, and I'll be happy to assist you further.