Question

Прямоугольник со сторонами 4 см и 16 см , имеет тот же периметр , что и квадрат . найдите сторону квадрата .

Answer 1

P прямоугольника= 40см
P квадр. =40:4
P квадр = 10

Answer 2

2*(4+16)=2*20=40 см периметр прямоугольника
Периметр квадрата: 4а =>
40:4=10 см сторона квадрата

Answer 3

Finding the Side Length of the Square

To find the side length of the square, we can start by calculating the perimeter of the rectangle. The perimeter of a rectangle is given by the formula P = 2 * (length + width). In this case, the length of the rectangle is 16 cm and the width is 4 cm. Plugging these values into the formula, we get:

P = 2 * (16 + 4) = 2 * 20 = 40 cm

Now, we know that the perimeter of the square is also 40 cm. Let's assume that the side length of the square is 'a'. The perimeter of a square is given by the formula P = 4 * a. Plugging in the value of the perimeter (40 cm), we can solve for 'a':

40 = 4 * a

Dividing both sides of the equation by 4, we get:

a = 40 / 4 = 10 cm

Therefore, the side length of the square is 10 cm.

Conclusion

The side length of the square with the same perimeter as the rectangle with sides measuring 4 cm and 16 cm is 10 cm.