The length of the rectangle is 6 times its width. P = 196 centimeters. What are the sides of the rectangle?

According to the condition of this task, we will compose an equation and determine the sides of the rectangle. We know that the length (let’s take for “6x”) is 6 times the width (we will designate “x”), the perimeter is 196 cm and corresponds to the formula:

P = 2a + 2b.

The equation:

2 * 6x + 2x = 196.

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

14x = 196.

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

x = 196: 14 = 14.

Therefore, the width of such a figure = 14 cm, and the length = 6 * 14 = 84 cm.