The area of the small square is 2 square inches. What is the area of the whole rectangle?

Answer 1

Since the area of the small square is 2 square inches, and the small square is a part of the whole rectangle, we can say that the area of the small square is a fraction of the area of the whole rectangle.

Let's call the side length of the small square x.

Then, the area of the small square is x * x = x^2.

Given that x^2 = 2, we can solve for x by taking the square root of both sides:

√(x^2) = √2

x = √2

Since x is the side length of the small square, it is also the width of the whole rectangle.

To find the length of the whole rectangle, we can use the formula for the area of a rectangle, which is length * width.

The width is x, so the length is also x.

Therefore, the length of the whole rectangle is √2.

The area of the whole rectangle is then √2 * √2 = (√2)^2 = 2 square inches.

So the area of the whole rectangle is 2 square inches.