The perimeter of the rectangle is 55.2 mm, and the length is 5 times the width. Find the sides of the rectangle

According to the condition of this task, we will compose an equation using the formula to determine the perimeter of the rectangle, and find its sides.

P = 2a + 2b.

We know that the length is 5 times greater than the width, and the sum of all sides = 55.2 mm.

2 * 5x + 2x = 55.2.

Let’s perform actions with the coefficients of the variable on the left side of the equation:

12x = 55.2.

To find the second factor, divide the product by the first:

x = 55.2: 12 = 4.6.

Therefore, width = 4.6 mm, length = 5 * 4.6 = 23 mm.