Answer:
x = 11.2
Step-by-step explanation:
Since, ΔPQR ~ ΔVST,
By the property of similar triangles, corresponding sides of these triangle will be proportional.
[tex]\frac{PQ}{VS}=\frac{QR}{ST}[/tex] ---------(1)
Since, scale factor = [tex]\frac{\text{Dimension of the image figure}}{\text{Dimension of the original}}[/tex]
[tex]\frac{2}{5}[/tex] = [tex]\frac{PQ}{VS}[/tex]
Therefore, from equation (1)
[tex]\frac{2}{5}=\frac{x}{28}[/tex]
x = [tex]\frac{28\times 2}{5}[/tex]
x = 11.2
