# The perimeter of the square is 20 cm, which is 6 cm less than the perimeter of the rectangle.

January 16, 2021 | education

| **The perimeter of the square is 20 cm, which is 6 cm less than the perimeter of the rectangle. The side of the square is equal to the width of the rectangle, what is the length of the rectangle?**

Let us express the side of the square, from the formula, to determine its perimeter:

P = 4a. The second factor is the quotient of the first:

a = P: 4.

According to the terms of the assignment, this value for such a figure is 20 cm, therefore:

a = 20: 4 = 5 cm.

The sum of all sides of the rectangle is 6 cm larger: P is rectangular. = 20 + 6 = 26 cm.

One of its sides = 5 cm, we find the length:

P = 2a + 2b, therefore: a = (P – 2b): 2 = (26 – 2 * 5): 2 = 16: 2 = 8 cm.

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