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

October 9, 2021 | education

| 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.

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