If each of a rectangle's sides is increased by 20%, the percentage increase in its area is:
A. 40%
B. 42%
C. 44%
D. 46%
Answer:C
If each of a rectangle's sides is increased by 20%, the percentage increase in its area is:
A. 40% B. 42% C. 44% D. 46%
Explanation: Let's say the original length is x metres and the original width is y metres.(xy) m2 was the original area.120/100 x m = 6/5 x m is the new length.New breadth = 120 / 100 y m = 6/5 y m.New Area = 36/25 xy m2 = 6/5 x x 6/5 y m2.The difference between the old area = xy and the new area = 36/25 xy is = (36/25)xy - xy = xy(36/25 - 1) = xy(11/25) or (11/25)xy Increase percent =1/25 xy x 1/xyx 100 percent = 44 percent.