Side of a hexagon is 4 cm. Side of a square is $4\sqrt{2}$ cm. What is the ratio of their areas?
Answer & explanation
Correct answer: option 3
Side of a hexagon = 4 cm
Side of a square = 4\(\sqrt {2}\)cm
Area of hexagon = \(\frac{3}{2}\)\(\sqrt {3}\)(side)2
So, according to the question,
Area of hexagon = \(\frac{3}{2}\)\(\sqrt {3}\)(4)2= 24\(\sqrt {3}\)
Area of the square = (4\(\sqrt {2}\))2 = 32 cm2
Area of hexagon: Area of the square = 24\(\sqrt {3}\) : 32 = 3\(\sqrt {3}\) : 4