If each side of a rectangle is increased by 50%, its area will increase by :
A. 50%
B. 125%
C. 150%
D. 200%
Answer: Option B
Solution(By Examveda Team)
Let original length = $$l$$ metres and original breadth = b metresOriginal area : $$ = \left( {lb} \right){m^2}$$
New length :
$$\eqalign{ & = \left( {\frac{{150l}}{{100}}} \right)m \cr & = \left( {\frac{{3l}}{2}} \right)m \cr & \text{New breadth :} \cr & = \left( {\frac{{150b}}{{100}}} \right)m \cr & = \left( {\frac{{3b}}{2}} \right)m \cr & \text{New area :} \cr & = \left( {\frac{{3l}}{2} \times \frac{{3b}}{2}} \right){m^2} \cr & = \left( {\frac{{9lb}}{4}} \right){m^2} \cr & \text{Increase} = 1 - \frac{9lb}{4} = \frac{5lb}{4} \cr & \therefore \text{ Increase % :} \cr & = \left( {\frac{{5lb}}{4} \times \frac{1}{{lb}} \times 100} \right)\% \cr & = 125\% \cr} $$
Related Questions on Area
A. 15360 m2
B. 153600 m2
C. 30720 m2
D. 307200 m2
E. None of these
A. 2%
B. 2.02%
C. 4%
D. 4.04%
E. None of these
A. 16 cm
B. 18 cm
C. 24 cm
D. Data inadequate
E. None of these
The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
A. 40%
B. 42%
C. 44%
D. 46%
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