Polygon q is a scaled copy of polygon p using a scale factor of 1/2 polygon q’s area is what fraction of polygon p’s area?

Answer:Polygon q’s area is one fourth of polygon p’s areaStep-by-step explanation:we know thatIf two figures are similar, then the ratio of its areas is equal to the scale factor squaredLetz-----> the scale factorx-----> polygon q’s areay-----> polygon p’s areaso[tex]z^{2} =\frac{x}{y}[/tex]In this problem we have[tex]z=\frac{1}{2}[/tex]substitute[tex](\frac{1}{2})^{2} =\frac{x}{y}[/tex][tex](\frac{1}{4}) =\frac{x}{y}[/tex][tex]x=\frac{1}{4}y[/tex]thereforePolygon q’s area is one fourth of polygon p’s area