What can be the perimeter of a rectangle made up of 6 squares with an area of 49 cm2?
August 7, 2021 | education
| 1. By the statement of the problem, it is known that the rectangle is composed of six squares, the area of each is 49 cm².
2. We know that the area of a square is equal to the product of its two dimensions, so the side is calculated as √49 cm² = 7 cm.
The resulting rectangle has one side 7 cm * 6 = 42 cm, and the second is 7 cm.
Then the perimeter P is obtained as the doubled sum of its two sides, that is
P = 2 * (42 cm + 7 cm) = 2 * 49 cm = 98 cm.
Answer: The perimeter of the composed rectangle is 98 centimeters.
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