The length of the rectangle is 1m 25 cm, and the width is 5 times less. Find the side length of a square whose perimeter is equal to the perimeter of this rectangle?
1. The length of the rectangle is 1 m 25 cm = 125 cm. The width of the rectangle is 5 times less than the length and is equal to:
125/5 = 25 cm.
2. The perimeter of the rectangle is:
P (rectangle) = 125 + 125 + 25 + 25 = 300 cm = 3 m;
3. Let the side of the square be x, then its perimeter P (square) = 4 * x. Since P (rectangle) = P (square), then:
4 * x = 300;
x = 300/4;
x = 75;
4. Answer: the length of the side of the square is 75 cm.
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