If the length of a rectangle is increased by 30% and the width is decreased by 30%, then the area will be-

Question: If the length of a rectangle is increased by 30% and the width is decreased by 30%, then the area will be-

Solution:
Let,
the length and breadth be 10 unit each.
∴ Area of rectangle = 10 × 10 = 100 unit²

New length = 10 + 30% of 10 = 10 + 3 unit
= 13 unit
New breadth = 10 - 30% of 10 = 10 - 3 unit
= 7 unit

∴ New area of rectangle = 13 × 7 = 91 unit²
Percentage decrease in area = 100 - 91 = 9 unit²

∴ Decrease percent is 9%