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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