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Question

Forty-eight congruent parallelograms with sides of length 62 feet and 20 feet are placed in a chevron pattern forming hexagon ABCDEF, as shown. What is the perimeter of hexagon ABCDEF? FIGURE

Accepted Answer

AB consists of 24 segments each of length 20 feet, and so it measures 2420=480 feet. Similarly, DE=480 feet. Each of BC, CD, EF, and FA measure 62 feet. In total, the perimeter is 480+480+62+62+62+62=1208 feet.