The sides of the rectangle are 8: 5, the perimeter is 210.6 cm. Calculate the lengths of the sides of the rectangle.

We will solve the problem by introducing a variable. But a variable can be maintained in two ways: either initially find the aspect ratio, take one side as a variable and express the other, or take the variable for one part of the ratio, express the sides and find the values. Let’s use the second method.

Let x be part of the aspect ratio. Then 8 * x is the first side of the rectangle, 5 * x is the second.

Knowing the value of the perimeter of the rectangle, we compose and solve the equation:

8 * x + 5 * x = 210.6 / 2;

13 * x = 105.3;

x = 8.1 cm.

Then the first side of the rectangle is 8.1 * 8 = 64.8 cm.The second side is 40.5 cm.