¶ 2013 AMC 12A Problem 9
Problem:
In and . Points , and are on sides , , and , respectively, such that and are parallel to and , respectively. What is the perimeter of parallelogram ?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Because is parallel to , it follows that is similar to and . Thus half of the perimeter of is . The entire perimeter is .
The problems and solutions on this page are the property of the MAA's American Mathematics Competitions