Question

Из прямоугольника со сторонами 9 см и 14 см вырезали квадрат со стороной 10 см. найди площадь оставшейся фигуры

Answer 1

Не могли вырезать из прямоугольника со сторонами 9см и 14 см квадрат со стороной 10 см так как у квадрата все стороны равны а значит все стороны по 10см а значит этот квадрат не поместился бы в этот прямоугольник

Answer 2

Calculating the Area of the Remaining Figure

To find the area of the remaining figure after a square with a side length of 10 cm is cut from a rectangle with sides of 9 cm and 14 cm, we can use the formula for the area of a rectangle, which is given by the product of its length and width.

The area of the remaining figure can be calculated by subtracting the area of the cut-out square from the area of the original rectangle.

Step 1: Calculate the area of the original rectangle. The area of a rectangle is given by the formula: \[ \text{Area} = \text{length} \times \text{width} \]

Using the given dimensions: \[ \text{Area of original rectangle} = 9 \, \text{cm} \times 14 \, \text{cm} \] \[ \text{Area of original rectangle} = 126 \, \text{cm}^2 \]

Step 2: Calculate the area of the cut-out square. The area of a square is given by the formula: \[ \text{Area} = \text{side} \times \text{side} \]

Using the given side length of the square: \[ \text{Area of cut-out square} = 10 \, \text{cm} \times 10 \, \text{cm} \] \[ \text{Area of cut-out square} = 100 \, \text{cm}^2 \]

Step 3: Calculate the area of the remaining figure. The area of the remaining figure is the difference between the area of the original rectangle and the area of the cut-out square: \[ \text{Area of remaining figure} = \text{Area of original rectangle} - \text{Area of cut-out square} \] \[ \text{Area of remaining figure} = 126 \, \text{cm}^2 - 100 \, \text{cm}^2 \] \[ \text{Area of remaining figure} = 26 \, \text{cm}^2 \]

Therefore, the area of the remaining figure is 26 cm^2.