The length of the rectangle is 2 times its width. The sum of the length and 3 times the width of the rectangle

The length of the rectangle is 2 times its width. The sum of the length and 3 times the width of the rectangle is 20.5. Calculate the area of this rectangle.

Let’s take the width of the rectangle as x, then:

2 * x – its length;

3 * x – three times the width.

We get the equation:

2x + 3x = 20.5;

5x = 20.5;

x = 4.1.

Then the length is equal to:

2 * 4.1 = 8.2.

Since the area of the rectangle is equal to the product of its sides, we get:

4.1 * 8.4 = 33.62.

Answer: the required area of the rectangle is 33.62.