Find the side length of a square whose perimeter is equal to the perimeter of a rectangle with sides 7cm and 5cm?

Formula for finding the perimeter of a rectangle:

P = 2 * (a + b), a is the width, b is the length of the rectangle.

1) Find the perimeter of the rectangle:

2 * (7 + 5) = 2 * 12 = 24 (cm) – the perimeter of the rectangle.

This means that the perimeter of the square is also 24 cm.

Since a square has the same lengths of all sides, in order to find the length of the side, it is necessary to divide the perimeter by 4.

2) Find the length of the side of the square:

24: 4 = 6 (cm) – the length of the side of the square.

Answer: the length of the side of the square is 6 cm.



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