Problem of the Day

Chapter 10, Lesson 10

Mario is creating templates for geometric designs to be made of felt and used as classroom decorations. This sketch shows an equilateral triangle inscribed in a regular hexagon.

 

The theme of the display is regular polygons, and the display will include formulas for finding areas of regular polygons when a side length, s, is known.


Mario's template is using 6 inches for the side of the equilateral triangle and 12 inches for the side of the regular hexagon.What is the area of the shaded region? Show your work and express your answer to the nearest tenth of a square inch.