Question

The Area of Triangle MAP is 36 cm^2. Find the area of Triangle MRT.

Answer 1

Since those triangles are similar we have the following relation:

$\frac{MAP}{6}=\frac{MRT}{(6+2)}$

Since we know the area of MAP, we can solve the equation above for MRT.

$\begin{gathered} \frac{MRT}{8}=\frac{36}{6} \\ \Rightarrow MRT=48 \end{gathered}$

Then, we get the result. The area of the triangle MRT is 48cm^2.