The perimeter of a 16 cm square is 2 cm less than the perimeter of the rectangle. The side of the square is equal

The perimeter of a 16 cm square is 2 cm less than the perimeter of the rectangle. The side of the square is equal to the width of the rectangle. Find the length of the rectangle.

Find the side of the square. The formula for the perimeter of a square is:

P = 4 * a, where a is the side of the square.

16 = 4 * a;

a = 16: 4;

a = 4 cm – side of the square.

Find the perimeter of the rectangle:

16 – 2 = 14 cm – the perimeter of the rectangle.

Using the formula for the perimeter of a rectangle, we find the length of the rectangle:

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

b = P / 2 – a.

b = 14/2 – 4;

b = 7 – 3;

b = 4 cm – the length of the rectangle.

Answer: the length of the rectangle is 4 cm.