Find the sides of a rectangle if its area is 50 cm² and one side is 2 times larger than the other.

1. Let’s say one side of a rectangle is x centimeters.

2. Then its other side is equal to:

x * 2 = 2x centimeters.

3. Find the length of one side using the equation.

x * 2x = 50;

2x² = 50;

x = √ (50/2) = √25 = 5 centimeters.

4. Let’s calculate the second one.

5 * 2 = 10 centimeters.

Answer: The sides of the rectangle are 5 and 10 centimeters respectively.