The length of the rectangle is 1 meter 25 cm and the width is 5 times less. Find the length of the side of a square whose perimeter is equal to the perimeter of this rectangle.
Find the width of the given rectangle.
According to the condition of the problem, the length of this rectangle is 1.25 m, and its width is 5 times less, therefore, the width of this rectangle is:
5 / 1.25 = 4 m.
Find the perimeter P of this rectangle:
P = 2 * (5 + 4) = 2 * 9 = 18 m.
Find the side length of a square whose perimeter is equal to the perimeter of this rectangle.
Let us denote it by x. Since the perimeter of the square is equal to the four sides of the square, we can write the following equation:
4 * x = 18.
We solve the resulting equation:
x = 18/4;
x = 4.5 m.
Answer: the length of the side of a square whose perimeter is equal to the perimeter of this rectangle is 4.5 m.
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