Question

what happened to the area of a square if its side is doubled

Answer 1

Dear student
$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{original}\mathrm{length}\mathrm{of}\mathrm{square}\mathrm{be}\mathrm{x}. \\ \mathrm{Then}\mathrm{area}\mathrm{of}\mathrm{square}={\mathrm{x}}^2 \\ \mathrm{If}\mathrm{length}\mathrm{of}\mathrm{square}\mathrm{is}\mathrm{doubled},\mathrm{we}\mathrm{get}\mathrm{each}\mathrm{side}=2\mathrm{x} \\ \mathrm{So},\mathrm{New}\mathrm{area}={\left(2\mathrm{x}\right)}^2=4{\mathrm{x}}^2 \\ \mathrm{So},\mathrm{doubling}\mathrm{the}\mathrm{side}\mathrm{length}\mathrm{multiplies}\mathrm{the}\mathrm{area}\mathrm{by}4. \end{gathered}$$

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