Question

1215. Прямокутник зі сторонами 2 см і 6 см розрізали на два рiвних між собою прямокутники. Знайди пери- метр кожного з них. Розглянь два випадки.​

Answer 1

Ответ:

$(1 + 6) \times 2 = 14 \\ (2 + 3) \times 2 = 10$

Answer 2

Відповідь:(1+6)×2=14

(2+3)×2=10

Покрокове пояснення:

Answer 3

Problem Analysis

We are given a rectangle with sides measuring 2 cm and 6 cm. This rectangle is then divided into two equal rectangles. We need to find the perimeter of each of the resulting rectangles. Let's consider two cases: when the rectangle is divided horizontally and when it is divided vertically.

Case 1: Horizontal Division

When the rectangle is divided horizontally, we get two rectangles with dimensions 2 cm x 3 cm each. To find the perimeter of each rectangle, we can use the formula for the perimeter of a rectangle, which is given by the equation: perimeter = 2 * (length + width).

For the first rectangle: - Length = 2 cm - Width = 3 cm

Using the formula, we can calculate the perimeter of the first rectangle: perimeter1 = 2 * (2 cm + 3 cm)

For the second rectangle, the dimensions are the same as the first rectangle, so the perimeter will be the same.

Case 2: Vertical Division

When the rectangle is divided vertically, we get two rectangles with dimensions 1 cm x 6 cm each. Again, we can use the formula for the perimeter of a rectangle to find the perimeter of each rectangle.

For the first rectangle: - Length = 1 cm - Width = 6 cm

Using the formula, we can calculate the perimeter of the first rectangle: perimeter1 = 2 * (1 cm + 6 cm)

For the second rectangle, the dimensions are the same as the first rectangle, so the perimeter will be the same.

Calculation

Let's calculate the perimeters for both cases:

Case 1: Horizontal Division - Perimeter of each rectangle = 2 * (2 cm + 3 cm) = 2 * 5 cm = 10 cm

Case 2: Vertical Division - Perimeter of each rectangle = 2 * (1 cm + 6 cm) = 2 * 7 cm = 14 cm

Answer

Therefore, the perimeter of each rectangle in the two cases is as follows: - Case 1: Horizontal Division: 10 cm - Case 2: Vertical Division: 14 cm