How to find the perimeter of a right triangle - SSAT Upper Level Quantitative

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Question

Which of these polygons has the same perimeter as a right triangle with legs 6 feet and 8 feet?

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Answer

A right triangle with legs 6 feet and 8 feet has hypotentuse 10 feet, as this is a right triangle that confirms to the well-known Pythagorean triple 6-8-10. The perimeter is therefore feet, or 8 yards.

We are looking for a polygon with this perimeter. Each choice is a polygon with all sides one yard long, so we want the polygon with eight sides - the regular octagon is the correct choice.

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