Question

What happens to the area of a square if its side is doubled?

Answer 1

Step 1:

Area of initial square$=side\times side$

Let the side of the square be $xunit$

Area of square$=x\times x=x^{2}unitssquare$

Step 2:

Side of new square when doubled$=2xunits$

Area of new square when doubled$=2x\times 2x=4x^{2}unitsquare$

Step 3:

Impact on area when side is doubled$=\frac{Areaofnewsquare}{Areaofinitialsquare}$

Impact on area when side is doubled$=\frac{4x^2}{x^2}=4times$

Hence, area of square becomes $4times$ when side is doubled.