The length of the rectangle is 26 cm and the width is 12 cm less. find the area of a square that has
August 19, 2021 | education
| The length of the rectangle is 26 cm and the width is 12 cm less. find the area of a square that has the same perimeter as the given rectangle.
1. We calculate what is the width of a geometric figure in the shape of a rectangle:
26 – 12 = 14 centimeters.
2. We calculate the perimeter of this geometric figure:
26 x 2 + 14 x 2 = 52 + 28 = 80 centimeters.
3. Taking into account that the perimeter of a geometrical figure in the shape of a rectangle is equal to the perimeter of a square, we calculate the length of a side of a square:
80: 4 = 20 centimeters.
4. Calculate the area of the square:
20 x 20 = 400 cm ^ 2.
Answer: the area of the square is 400 cm ^ 2.
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