The perimeter of the square is 32 cm. Find the length of the rectangle if its width is 4 cm

| February 10, 2021 | education

The perimeter of the square is 32 cm. Find the length of the rectangle if its width is 4 cm, and the perimeter is equal to the perimeter of the square.

By the statement of the problem, the perimeter of the square is equal to the perimeter of the rectangle. In order to find the length of a rectangle, you need to know the width of the rectangle and the perimeter of the rectangle. Find the side length of the square. To do this, divide the perimeter of the square by 4, because all sides of the square are equal.

32: 4 = 8 (cm) – side of the square;

The perimeter of the rectangle is P = (a + b) / 2, where P is the perimeter of the rectangle, a is the width of the rectangle, and b is the length of the rectangle.

a = P / 2 – b;

a = 32/2 – 4 = 16 – 4 = 12 (cm) – the length of the rectangle.

Answer: 12 cm.



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