Given data
Base Before dilation = 6cm
Height Before dilation = 10cm
Base after dilation = 6 x 2.5 = 15 cm
Height after dilation = 10 x 2.5 = 25cm
[tex]\begin{gathered} \text{Area = }\frac{1}{2}\text{ base x height} \\ =\text{ }\frac{1}{2}\text{ x 15 x 25} \\ =\text{ }\frac{1\text{ }\times\text{ 15 }\times\text{ 25}}{2} \\ =\text{ }\frac{375}{2} \\ =187.5cm^2 \end{gathered}[/tex]