Question

if the side of square be increased by 50 percent find the percent increase in area ​

Answer 1

Let the side of square = xcm

Area of square = Side × Side

= x × x

$= {x}^{2} \\ increased \: in \: side \: = x + 50\% \: of \: x \\ = \frac{150}{100} = 1.5x \\ Area \: of \: new \: square \: = side \times side \\ = 1.5x \times 1.5x \\ = 2.25 {x}^{2}$

$increase\% \: in \: area = \frac{diffrence}{original}\times 100 \\ = \frac{2.25 {x}^{2} - {x}^{2} }{ {x}^{2} } \times 100 \\ = \frac{1.25 {x}^{2} }{ {x}^{2} } \times 100 \\ = 125\%$