Question

a triangle with a base of 6 cm and a height of 10 cm is dilated by a factor of 2.5. the area of the dilated figure is ___ square cm.(no image was included with this)

Answer 1

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

`\begin{gathered} \text{Area = }(1)/(2)\text{ base x height} \\ =\text{ }(1)/(2)\text{ x 15 x 25} \\ =\text{ }\frac{1\text{ }*\text{ 15 }*\text{ 25}}{2} \\ =\text{ }(375)/(2) \\ =187.5cm^2 \end{gathered}`