The length of the rectangle is 30 cm. How long will it become if the width of the rectangle remains unchanged:

The length of the rectangle is 30 cm. How long will it become if the width of the rectangle remains unchanged: 1) it will increase by 1.5 times; 2) will it decrease by 3.2 times?

The area of a rectangle is the product of length and width. If you change one of the sides of the rectangle a certain number of times, and the area remains unchanged, then the other side changes in the opposite direction in the same number of times.
1) If the width is increased by 1.5 times, the length will be:
a = 30 cm ÷ 1.5 = 20 cm.
2) If the width is reduced by 3.2 times, the length will be:
a = 30 cm * 3.2 = 96 cm.
Answer: 1) 20 cm, 2) 96 cm.