The area of a triangle is half the area of a square. The perimeter of the square is 172 cm. What is the area of the triangle (in cm2)?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 924.5.
The area of a triangle = The area of a square/2
The perimeter of the square = 172 cm
The perimeter of a square = 4 × side
⇒ 4 × side = 172
⇒ side = 172/4 = 43 cm
The area of a square = side2 = 432 = 1849 cm2
Hence, the area of the triangle = 1849/2 = 924.5 cm2