2015 · Q54
A square and an equilateral triangle have equal perimeter. If the diagonal of the square is 12{2} cm, then the area of the triangle is
Elementary MathematicsMensuration
- A24{2}\,{cm}²
- B24{3}\,{cm}²
- C48{3}\,{cm}²
- D64{3}\,{cm}²
Explanation
Diagonal 12*sqrt(2) gives side 12 and perimeter 48; the triangle has side 16 and area (sqrt(3)/4) x 256 = 64*sqrt(3) cm^2. Hence option (d).