Question

Квадрат зі стороною 12 см і прямокутник,одна із сторін якого дорівнює 10 см мають рівні периметри. Чому дорівнює невідома сторона прямокутника?

Answer 1

Рквадр=4а
Рквадр=12*4=48см.
Рпрям=2(а+b)=2(10+b)
Рквадр=Рпрям.
2(10+b)=48
10+b=48:2
b=48:2-10
b=24-10
b=14.

Відповідь: невідома сторона прямокутника дорівнює 14 см.

Answer 2

Problem Analysis

We are given a square with a side length of 12 cm and a rectangle with one side measuring 10 cm. The perimeters of the square and the rectangle are equal. We need to find the length of the unknown side of the rectangle.

Solution

To find the length of the unknown side of the rectangle, we need to compare the perimeters of the square and the rectangle.

Let's denote the unknown side of the rectangle as 'x'.

The perimeter of the square is given by 4 times the length of one side, which is 12 cm. Therefore, the perimeter of the square is 4 * 12 = 48 cm.

The perimeter of the rectangle is given by 2 times the sum of its adjacent sides. One side of the rectangle is given as 10 cm, so the perimeter of the rectangle is 2 * (10 + x) = 20 + 2x cm.

Since the perimeters of the square and the rectangle are equal, we can set up the following equation:

48 cm = 20 + 2x cm

To solve for 'x', we can subtract 20 from both sides of the equation:

48 cm - 20 cm = 20 cm + 2x cm

28 cm = 2x cm

Dividing both sides of the equation by 2, we get:

14 cm = x cm

Therefore, the length of the unknown side of the rectangle is 14 cm.

Conclusion

The length of the unknown side of the rectangle is 14 cm.