In triangle MXY, R and T are the midpoints of sides MX and MY, respectively. If the area of triangle MRT is 36 sq cm, what is the area of quadrilateral TRXY?

Question

raden · Answer

look that the triangle of MRT and MXY are similar, which has corresponding sides is 1 : 2. so find the area of MXY, first.

area of MXY = (2/1)^2 * 36 = 144
abvious, area of TRXY = area of MXY  - area of MRT = ...

anonymous · Answer

@RadEn How did you solve for the area of MXY? What is that formula?

raden · Answer

if the proportion of sides of 2 similar triangles is a : b, then the proportion of both area is (a : b)^2

anonymous · Answer

@RadEn Oh okay. Thank you!

raden · Answer

you're welcome ;)