- A3:2
- B2:3
- C3:1
- D1:2
Step-by-Step Solution
Let the hexagon's side be a, so its perimeter is and the triangle's side is . Hexagon area = 6 × (√3/4) = (3√3/2); triangle area = (√3/4) = √. Ratio = (3/2) : 1 = 3 : 2.
Answer: A) 3:2
A regular hexagon and an equilateral triangle have the same perimeter. Find the ratio of the area of the hexagon to the area of the triangle.
Competition practiceAreas & Volumes
Master this topic in 30 minutes a day.
Don't just memorise the answer — build a daily practice habit.
Practice 5 Similar Questions Free →All Areas & Volumes practice questions
More Areas & Volumes practice
A right triangle has legs 5 cm and 12 cm, so its hypotenuse is 13 cm. A semicircle is…Semicircles are drawn on all three sides of a right triangle with legs 6 cm and 8 cm,…A circle is drawn inside a square of side 20 cm so that it touches all four sides, and a…A square lawn of side 28 m has a quarter-circle flower bed of radius 14 m cut at each of…A triangle is drawn inside a semicircle of diameter 28 cm: its base is the whole…