In the given figure, ABCDEF is a regular hexagon whose side is 6 cm. APF, QAB, DCR, and DES are equilateral triangles. What is the area (in cm²) of the shaded region?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 72√3.
Area of an equilateral triangle of side 6 cm = √3/4 × 36 = 9√3
Hence,
Area of the shaded region = 8 × Area of 1 equilateral triangle
= 8 × 9√3
= 72√3