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geometry intermediate

Problem

The adjacent sides of the decagon shown meet at right angles. What is its perimeter?
problem
(A)
(B)
(C)
(D)
Solution
The three unlabelled vertical sides have the same sum as the two labelled vertical sides, which is . The four unlabelled horizontal sides have the same sum as the one large horizontal side, which is . Thus, the perimeter is , which is option .
Final answer
D