Question

If the length and breadth of a rectangular plot be increased by 50% and 20% respectively, then how many times will its area be increased?

• A. 4/3
• B. 2
• C. 17/5
• D. 21/5
• E. None of these

Answer 1

The correct option is E

None of these

Let original length = `x' metres and original breadth = `y' metres Original area = (xy) m${}^2$ New length =$\left(\frac{150}{100}x\right)m=\left(\frac{3}{2}x\right)m$; New breadth = $\left(\frac{120}{100}y\right)m=\left(\frac{6}{5}y\right)m$ New area = 1.8 (xy) m${}^2$