How will the area of a rectangle change if its length and width are doubled?

Let’s denote the length of the rectangle as a, and the width as b.

The area of a rectangle is the product of its sides.

Therefore, the starting area will be:

a * b = ab.

In the event that the length and width are doubled, its area will be equal to:

2 * a * 2 * b = 4 * ab.

We find the ratio of the areas of the figure.

4 * ab / ab = 4.

From this it follows that the area of the rectangle will increase by 4 times.

Answer: The area will increase by 4 times.