Question

Use the image to answer the question.

A triangle with unequal sides with the base labelled 6 and height labelled 4.

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

24
24

75
75

150
150

60

Answer 1

Original area = 1/2·6·4 = 12.
After dilation by 2.5, area scales by 2.5^2 = 6.25, so new area = 12·6.25 = 75 square inches.