The length of the rectangle is 1 m 5 cm, and the width is 7 times less. Find the side of a square whose perimeter is equal to the perimeter of this rectangle.
1) We translate the length of the rectangle into centimeters, knowing that 1 m = 100 cm:
1 m 5 cm = 100 cm + 5 cm = 105 cm.
2) Calculate the width of the rectangle:
105: 7 = 15 cm.
3) Find the perimeter of the rectangle (P):
P = 105 + 15 + 105 + 15 = 240 cm.
4) Calculate the side of a square if it is known that its perimeter is equal to the perimeter of a given rectangle:
a = P: 4,
a = 240: 4,
a = 60 cm.
Answer: the side of the square is 60 cm.
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