Question

Алишер вырезал из бумаги прямоугольник со сторонами 15 см и 9 см.Затем он отрезал от каждого угла по одному квадрату с периметром 8 см каждый.Чему равен периметр полученной фигуры?

Answer 1

Смотри.........................

Answer 2

Solution:

Step 1: Find the perimeter of the original rectangle.

The perimeter of a rectangle is given by the formula: \[ P = 2 \times (length + width) \]

Given: - Length of the rectangle, \( l = 15 \, \text{cm} \) - Width of the rectangle, \( w = 9 \, \text{cm} \)

Using the formula: \[ P = 2 \times (15 + 9) = 2 \times 24 = 48 \, \text{cm} \]

Step 2: Find the new perimeter after cutting squares from each corner.

After cutting squares from each corner, the length and width of the resulting figure would be reduced by twice the length of the side of the square cut from each corner.

Given: - Perimeter of the squares cut from each corner, \( s = 8 \, \text{cm} \)

The new length and width of the resulting figure would be: \[ l' = l - 2s \] \[ w' = w - 2s \]

Substituting the given values: \[ l' = 15 - 2 \times 8 = 15 - 16 = -1 \, \text{cm} \] \[ w' = 9 - 2 \times 8 = 9 - 16 = -7 \, \text{cm} \]

The negative values indicate that the resulting figure is not a valid rectangle, and therefore, the perimeter cannot be calculated.

Hence, the perimeter of the resulting figure cannot be determined.

Therefore, the perimeter of the resulting figure cannot be determined due to the negative values obtained for the length and width after cutting the squares from each corner.