# The perimeter of the square is 24 cm. The rectangle has the same area as the square and one of its sides is 9 cm.

March 27, 2021 | education

| **The perimeter of the square is 24 cm. The rectangle has the same area as the square and one of its sides is 9 cm. What is the perimeter of the rectangle?**

Brief record of the problem:

perimeter of the square – 24 cm,

the length of the rectangle is 9 cm,

perimeter of the rectangle -? cm,

the areas of the figures are equal.

1. Determine the length of the side of the square:

24: 4 = 6 cm.

2. The area of a square (rectangle) is equal to:

6 6 = 36 cm ^ 2.

3. Calculate the width of the rectangle:

36: 9 = 4 cm.

4. Perimeter of the rectangle:

(9 + 4) 2 = 26 cm.

Answer: The perimeter of the rectangle is 26 centimeters.

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