Practice30Create account

The perimeter of an equilateral triangle is 36 cm. What is its area in square cm? (Take √3 = 1.73.)

Competition practiceMensuration
  • A124.56
  • B62.28
  • C72
  • D35.03

Step-by-Step Solution

Each side is 36/3 = 12 cm, and the area of an equilateral triangle is (√3/4) sid sq cm. The trap 124.56 uses √3/2 in place of √3/4; 72 comes from , using a side as though it were the height, though the true height is 6√3 ≈ 10.38 cm; 35.03 divides the perimeter by 4 instead of 3, giving a side of 9 cm.
Answer: B) 62.28

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 Mensuration practice questions

More Mensuration practice

The three sides of a triangular plot measure 13 m, 14 m and 15 m. What is its area in…A semicircular protractor has a diameter of 14 cm. What is its perimeter in cm? (Use π =…A solid metal cuboid measuring 27 cm by 8 cm by 1 cm is melted and recast into a single…A well of internal diameter 14 m is dug 12 m deep. The earth taken out is spread evenly…A circus tent is cylindrical up to a height of 3 m and conical above that. Its base…