Question

Mike draws a triangle and dilates it by a scale factor of 2.5. If the triangle’s original dimensions are 4 inches high and 6 inches along its base, what is the area in square inches of Mike’s dilated triangle?

(1 point)
Responses

60
60

75
75

24
24

150

Answer 1

Original area = 1/2·base·height = 1/2·6·4 = 12 in².
Scale factor = 2.5, so area scales by (2.5)² = 6.25.
New area = 12·6.25 = 75 in².

Answer: 75