Question

triangle abc has an area of 6 and a perimeter of 12. if the triangle is dilated by a scale factor of 3 centered at the origin, what is the area and perimeter of its image, triangle a'b'c'?

Answer 1

• perimeter: 36 units
• area: 54 square units

Explanation:

The perimeter is multiplied by the scale factor:

image perimeter = 3 × original perimeter = 3×12 = 36 units

The area is multiplied by the square of the scale factor:

image area = 3² × original area = 9×6 = 54 square units