Question

Знайди сторони прямокутника i квадрата, якi мають однаковий периметр - 36 см. Одна зi сторiн прямокутника дорiвнюе 10 см.

Answer 1

Сторона квадрата равна
36:4=9(см)
Ширина прямоугольника-8см
Длина прямоугольника-10см

Answer 2

Finding the sides of a rectangle and a square with the same perimeter

To find the sides of a rectangle and a square with the same perimeter of 36 cm, we can use the given information that one side of the rectangle is 10 cm.

Let's denote the length of the rectangle as L and the width as W. The perimeter of a rectangle is given by the formula: P = 2L + 2W.

Given that the perimeter is 36 cm, we can write the equation as: 2L + 2W = 36.

Since one side of the rectangle is 10 cm, we can substitute L = 10 into the equation: 2(10) + 2W = 36.

Simplifying the equation, we have: 20 + 2W = 36.

Subtracting 20 from both sides, we get: 2W = 16.

Dividing both sides by 2, we find: W = 8.

Therefore, the sides of the rectangle are 10 cm and 8 cm.

Now, let's find the side of the square with the same perimeter. Since a square has all sides equal, we can denote the side of the square as S.

The perimeter of a square is given by the formula: P = 4S.

Given that the perimeter is 36 cm, we can write the equation as: 4S = 36.

Dividing both sides by 4, we find: S = 9.

Therefore, the side of the square is 9 cm.

To summarize: - The sides of the rectangle with the same perimeter are 10 cm and 8 cm. - The side of the square with the same perimeter is 9 cm.

Please let me know if there's anything else I can help you with!