The area of a rectangle is 30√3750 square inches, and the length is 3√250 inches.

What is the width of the rectangle?

Let's denote the width of the rectangle as w.

We know that the area of a rectangle is given by the formula A = length * width. In this case, the area is 30√3750 square inches and the length is 3√250 inches. Therefore:

30√3750 = 3√250 * w

To solve for w, we can divide both sides of the equation by 3√250:

10√3750/√250 = w

Simplifying the square roots:

10√(3750/250) = w

10√15 = w

So, the width of the rectangle is 10√15 inches.