SOLUTION: In the diagram below, find the ratio of the area of the parallelogram to the area of triangle ABC. Diagram: https://imgur.com/a/Z9zvi8J

Algebra ->  Surface-area -> SOLUTION: In the diagram below, find the ratio of the area of the parallelogram to the area of triangle ABC. Diagram: https://imgur.com/a/Z9zvi8J      Log On


   

Question 1149585: In the diagram below, find the ratio of the area of the parallelogram to the area of triangle ABC.
Diagram: https://imgur.com/a/Z9zvi8J
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The ratio of similarity between BED and BAC is 11:15; the ratio of their areas is 11^2:15^2 = 121:225.

The ratio of similarity between EAF and BAC is 4:15; the ratio of their areas is 4^2:15^2 = 16:225.

The area of BED is 121/225 of the area of BAC; the area of EAF is 16/225 of the area of BAC; what is left is the area of the parallelogram.