A triangle with an area of 3 mm² is dilated by a factor of 6. What is the area of the dilated triangle? 9 mm² 12 mm² 18 mm² 108 mm²

By definition, the area of a triangle is given by:
 A = (1/2) * (b) * (h)
 Where,
 b: base
 h: height
 The area of the original triangle is 3 mm² and is dilated by a factor of 6. We have then
 A = (1/2) * (6b) * (6h)
 A = (1/2) * (b) * (h) * (6) * (6)
 A = 3 * (6) * (6)
 A = 108 mm²
 answer
 The area of the dilated triangle is 108 mm²