Question

The length of a square is increased by $40\%$ while breadth is decreased by $40\%$. Find the ratio of the area of the resulting rectangle so formed to that of the original square.

Answer 1

$\begin{array}{c}Squarebexunitx\\ \Rightarrow Areaofsquare=x^2\\ \Rightarrow areaofrec\tan gle=x\left(1+\frac{4}{10}\right)\times x\left(1-\frac{4}{10}\right)\\ then,ratio,x^2:x^2\left(1-\frac{16}{100}\right)=1:1.84\end{array}$