Question

Square NOPQ is dilated by a scale factor of to form square N'O'P'Q'. Side N'O' measures 4. What is the measure of side NO?

Answer 1

$\begin{gathered} \text{NOPQ was dilated to N'O'P'Q'} \\ \text{The scale factor is }\frac{2}{3} \\ N^{\prime}O^{\prime}=4 \\ N^{\prime}O^{\prime}=\frac{2}{3}NO \\ 4=\frac{2}{3}NO \\ \text{cross multiply} \\ 12=2NO \\ NO=\frac{12}{2} \\ NO=6 \end{gathered}$