The length of the rectangle is 3.4 times its width. Find the sides of a rectangle if its perimeter is 6.6 dm.

Since the opposite sides of the rectangle are equal, its perimeter is calculated by the formula:

P = 2a + 2b. According to the terms of the assignment, this value for such a figure is 6.6 dm, and its length is 3.4 times its width. Let’s write the expression:

2 * 3.4x + 2x = 6.6. On the left side of the equation, we perform actions with the variable:

8.8x = 6.6. To find the second factor, you need to divide the product by the first:

x = 6.6: 8.8 = 0.75.

Therefore, the width is 0.75 dm or 7.5 cm and the length = 0.75 * 3.4 = 2.55 dm or 25.5 cm.