Question

Сколько квадратов со стороной, равной 3см, можно вырезать из прямоугольника со сторонами 9см и 5см? Четырёхугольник с какой площадью останется в остатке?

Answer 1

3 штуки. Остаток 9*5-3*3*3шт=18см²

Answer 2

Calculation of Squares

To determine how many squares with a side length of 3 cm can be cut from a rectangle with sides measuring 9 cm and 5 cm, we need to calculate the area of the rectangle and divide it by the area of the square.

The area of the rectangle is calculated by multiplying the length and width: Area of rectangle = length × width

In this case, the length of the rectangle is 9 cm and the width is 5 cm, so: Area of rectangle = 9 cm × 5 cm = 45 cm²

The area of the square is calculated by squaring the length of one side: Area of square = side length × side length

In this case, the side length of the square is 3 cm, so: Area of square = 3 cm × 3 cm = 9 cm²

To find out how many squares can be cut from the rectangle, we divide the area of the rectangle by the area of the square: Number of squares = Area of rectangle ÷ Area of square

Substituting the values we calculated earlier: Number of squares = 45 cm² ÷ 9 cm² = 5 squares

Therefore, you can cut 5 squares with a side length of 3 cm from the given rectangle.

Remaining Quadrilateral

To find out the area of the remaining quadrilateral, we subtract the total area of the squares from the area of the rectangle.

The total area of the squares can be calculated by multiplying the area of one square by the number of squares: Total area of squares = Area of square × Number of squares

Substituting the values we calculated earlier: Total area of squares = 9 cm² × 5 = 45 cm²

To find the area of the remaining quadrilateral, we subtract the total area of the squares from the area of the rectangle: Area of remaining quadrilateral = Area of rectangle - Total area of squares

Substituting the values we calculated earlier: Area of remaining quadrilateral = 45 cm² - 45 cm² = 0 cm²

Therefore, the remaining quadrilateral has an area of 0 cm².

Summary: - You can cut 5 squares with a side length of 3 cm from the given rectangle with sides measuring 9 cm and 5 cm. - The remaining quadrilateral has an area of 0 cm².

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