The side of a square equal to n meters is 2/5 of the length of the rectangle and 3/2 of the width of the rectangle. How much of the perimeter of the square is from the perimeter of the rectangle?
First, let’s find what the perimeter of this square is equal to.
In the initial data for this task, it is reported that the length of the side of this geometric figure is n meters, therefore, the sum of the lengths of all four sides of this square is 4n meters.
Let’s find the lengths of the sides of this rectangle.
According to the condition of the problem, the length of the side of this square is 2/5 of the length of the rectangle and 3/2 of its width, therefore, the length of the rectangle is 5n / 2 m, and its width is 2n / 3.
Then the perimeter of the rectangle is 2 * (5n / 2 + 2n / 3) = 2 * 19n / 6 = 19n / 3 and the perimeter of the square is 4n / (19n / 3) = 12/19 from the perimeter of the rectangle.
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