Question

Сторона квадрата 20 см. Длина прямоугольника 20 см, ширина 10 см. У какой фигуры площадь больше и на сколько процентов?

Answer 1

Сравниваем 20² и 20 · 10.
Получаем: $400\ \textgreater \ 200.$

200 : 400 = 0,5 = 50%

ОТВЕТ: у квадрата площадь больше на 50%.

Answer 2

Calculation of Areas

To determine which figure has a larger area and by how much, we need to calculate the areas of the square and the rectangle.

The side length of the square is given as 20 cm. The formula to calculate the area of a square is A = s^2, where A represents the area and s represents the side length.

Using this formula, the area of the square is: A_square = 20 cm * 20 cm = 400 cm^2.

The length of the rectangle is given as 20 cm, and the width is given as 10 cm. The formula to calculate the area of a rectangle is A = l * w, where A represents the area, l represents the length, and w represents the width.

Using this formula, the area of the rectangle is: A_rectangle = 20 cm * 10 cm = 200 cm^2.

Comparison of Areas

Comparing the areas of the square and the rectangle, we find that the area of the square (400 cm^2) is larger than the area of the rectangle (200 cm^2).

To determine the difference in percentage, we can use the formula percentage difference = (difference / original value) * 100.

Calculating the percentage difference: difference = A_square - A_rectangle = 400 cm^2 - 200 cm^2 = 200 cm^2.

percentage difference = (200 cm^2 / 200 cm^2) * 100 = 100%.

Therefore, the area of the square is larger than the area of the rectangle by 100%.

Please note that the calculations provided above are based on the given dimensions and formulas.