Question

The area of a sq field is 1125 square metres. If each of its side increased by 1 metre, what will be the increase in its area

Answer 1

$side \: \: of \: \: square \: \: field = \sqrt{1125} \\ = 15 \sqrt{5} \: m \\ after \: \: increase \\ side \: \: length = 15 \sqrt{5} + 1 \\ new \: \: area = {(15 \sqrt{5} + 1)}^{2} \\ = 1126 + 30 \sqrt{5} \: {m}^{2} \\ \\ increase \: \: in \: \: area \\ = (1126 + 30 \sqrt{5} ) - 1125 \\ = 1 + 30 \sqrt{5} = 68.08 \: {m}^{2}$