2022 · Q76
The diagonal of a square is 12√2 cm and the area of an equilateral triangle is 64√3 square cm. Which of the following statements is/are correct?1. The square and the triangle have the same perimeter.2. Four times the area of the square is equal to 3√3 times the area of the triangle.Select the correct answer using the code given below.
Elementary MathematicsQuadrilaterals and Polygons
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
Square: side 12, perimeter 48, area 144. Triangle: (√3/4)a² = 64√3 gives a = 16, perimeter 48 - statement 1 true. 4x144 = 576 = 3√3x64√3 - statement 2 true. Hence the keyed option is C.