2019 · Q46
An equilateral triangle and a square are constructed using metallic wires of equal length. What is the ratio of the area of the triangle to that of the square?
Elementary MathematicsMensuration
- A3:4
- B2:3
- C4√3:9
- D2√3:9
Explanation
With wire length L: triangle side L/3, area sqrt(3)L^2/36; square side L/4, area L^2/16. Ratio = (sqrt(3)/36)/(1/16) = 4.sqrt(3):9.