Find the ratio of the area of triangle XBY to the area of triangle ABC for the given measurements, if BY = 2, BC = 4 1/3 1/4 1/2

Question

The image: https://media.glynlyon.com/g_geo_2013/8/23183_5.gif

 

Find the ratio of the area of triangle XBY to the area of triangle ABC for the given measurements, if

BY = 2, BC = 4


A. 1/3
B. 1/4
C. 1/2

Answer 1

BY/BC=2/4=1/2

 

Area ratio:

 

Area of triangle XBY / Area of triangle ABC = (BY/BC)²

                                                               =(1/2)²

                                                                =1/4

 

So the answer is B.  1/4