If the length of a rectangle is increased by 40% and the width is decreased by 20%, the area of the rectangle will increase by?

If the length of a rectangle is increased by 40% and the width is decreased by 20%, the area of the rectangle will increase by? Correct Answer 12%

Let the initial length and width be L & W respectively. Then, initial area = L x W Length after 40% increament = 1.4L Width after 20% decreament = 0.8W New area = 1.4L x 0.8W = 1.12 (L x W) So, area will increase by 12%. [Shortcut:  ( + 40) + ( - 20) + ( + 40)x( - 20)/100 =   + 12%]
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