Xiao Li wants to use a square piece of paper with an area of 400 square centimeter to cut a rectangular piece of paper with an area of 300 square centimeter along the direction of the side, so that its length width ratio is 3:2. I don't know if it can be cut out, but she is worried. Xiao Ming said, "don't worry, you can cut a small piece of paper with a large piece of paper." do you agree with Xiao Ming? Please give reasons

Xiao Li wants to use a square piece of paper with an area of 400 square centimeter to cut a rectangular piece of paper with an area of 300 square centimeter along the direction of the side, so that its length width ratio is 3:2. I don't know if it can be cut out, but she is worried. Xiao Ming said, "don't worry, you can cut a small piece of paper with a large piece of paper." do you agree with Xiao Ming? Please give reasons

The reasons are as follows: if the length and width of a rectangle with an area of 300 square centimeter are divided into 3x and 2x, then 3x · 2x = 300, X2 = 50, ∥ x = 52, ∥ the length and width of a rectangle with an area of 300 square centimeter are divided into 152cm and 102CM, ∥ the side length of a square with an area of 400 square centimeter is 20, ∥ 20 < 15