The figure shows a triangular park ABC. The area DEFC is cordoned off by putting barricades on the sides DE and EF.

What is the total length of the barricades DE and EF?
A. 90 feet
B. 108 feet
C. 36 feet
D. 120 feet

(I will post the picture below. Thanks for your help!)

Question

The figure shows a triangular park ABC. The area DEFC is cordoned off by putting barricades on the sides DE and  EF.

What is the total length of the barricades DE and EF? 
A. 90 feet 
B. 108 feet 
C. 36 feet 
D. 120 feet

(I will post the picture below. Thanks for your help!)

anonymous · Answer

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anonymous · Answer

AB/EB = AC/DC. This is a property of the similar triangles, ΔADE~ΔACB. This equation lets you solve for DC, one side of the parallelogram DCFE. You can set up a similar equation for the other side of the parallelogram. Recall that in a parallelogram, opposite side are equal in length. 

Good luck.