Question

If the length and breadth of rectangular plot are increased by $50\%$ and $20\%$ respectively, then the new area is how many time the original area

• A. $\frac{5}{9}$
• B. $10$
• C. $\frac{9}{5}$
• D. None of these

Answer 1

Answer: (C)

$\frac{9}{5}$

Let, the length and the breadth of the rectangular plot be $x$ and $y$.

Then the area of the rectangular plot is $xy$.

After increasing the length and breadth by $50\%$ and $20\%$ respectively, the new length and breadth

will be $x+\frac{50x}{100}=\frac{3x}{2}$ and $y+\frac{20y}{100}=\frac{6y}{5}$.

Then the new area will be $\frac{9}{5}xy=\frac{9}{5}\times$ the original area.