Question

The area of a square field is 1125 sq.meters.If its sides is increased by 1 meters,what will increased in its area?

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{side}\mathrm{of}\mathrm{square}\mathrm{be}\mathrm{x}\mathrm{m} \\ \mathrm{Area}=1125{\mathrm{m}}^2 \\ \Rightarrow {\mathrm{x}}^2=1125 \\ \Rightarrow \mathrm{x}=\sqrt{1125} \\ \Rightarrow \mathrm{x}=33.54\mathrm{m} \\ \mathrm{New}\mathrm{side}=33.54+1=34.54\mathrm{m} \\ \mathrm{So},\mathrm{new}\mathrm{area}=\mathrm{side}\times \mathrm{side}=34.54\times 34.54=1193.01{\mathrm{m}}^2 \end{gathered}$$