Question

Convex hexagon $ABCDEF$ has exactly two distinct side lengths. Side $AB$ measures 5 units, and side $BC$ measures 6 units. The perimeter of hexagon $ABCDEF$ is 34 units. How many sides of hexagon $ABCDEF$ have measure 6 units?

Answer 1

Answer:

Step-by-step

If all sides measured 6 units, the total perimeter would be 36. But this is 2 too many units, so we must change two of these sides to 5 units. Thus \boxed{4} sides measure 6 units.explanation: