Xiao Li uses a rectangular piece of paper with a length width ratio of 3:2 and an area of 420cm to cut a square piece of paper with an area of 324 square centimeters along the direction of the edge. You can help Xiao Li calculate. Can she use a large piece of paper to cut a small piece of paper?

Xiao Li uses a rectangular piece of paper with a length width ratio of 3:2 and an area of 420cm to cut a square piece of paper with an area of 324 square centimeters along the direction of the edge. You can help Xiao Li calculate. Can she use a large piece of paper to cut a small piece of paper?

Let the rectangle be 3xcm in length and 2xcm in width
3x*2x=420
The solution is: x = √ 70
The rectangle is 3 √ 70cm in length and 2 √ 70cm in width
Square side length = √ 324 = 18cm
Because 2 √ 70