Xiao Li wants to use a square piece of paper with an area of 400 to cut a rectangle with an area of 250 along the side, so that the ratio of length to width is 5:2 Can Xiao Li successfully cut such a piece of paper?

Xiao Li wants to use a square piece of paper with an area of 400 to cut a rectangle with an area of 250 along the side, so that the ratio of length to width is 5:2 Can Xiao Li successfully cut such a piece of paper?

Let the length be 5x and the width be 2x,
So 5x * 2x = 10x ^ 2 = 250,
So x ^ 2 = 25, x = 5,
So the length is 25 and the width is 10,
Because the square with an area of 400 has a side length of 20
And the length of the rectangle needs 25, so you can't cut out such a rectangle

Xiao Li wants to cut a rectangular piece of paper with an area of 30cm2 on a square piece of paper with an area of 36cm2 along the direction of the side, and make its length to width ratio 2:1. Ask Xiao Li if she can use this square piece of paper to cut a rectangular piece of paper that meets the requirements, why
There should be a reasonable process

Let the width of the rectangle be a, the length is 2a, and the area is 2A ^ 2 = 30. Then a is the root sign 15. Therefore, the width of the rectangle is more than 3 and the length is more than 6

Xiao Ming wants to use a square piece of paper with an area of 16cm2 to cut a rectangular piece of paper with an area of 12cm2 along the side, so that the ratio of length to width is 3:2. Can he cut it?

Let the length of the rectangle be 3xcm and the width be 2xcm. According to the meaning of the title, we can get: 6x2 = 12, and the solution is: x = 2, ∵ the area of the square is 16cm2, ∵ the side length of the square is 4cm, ∵ the length of the rectangle is 32 > 4