Question

Kierra draws a triangle with a base of 10 cm and a height of 15 cm. She dilates the triangle using a scale factor of 45
. Then, Kierra finds the difference between the two areas by subtracting. How much greater is the area of the original triangle than the area of the dilated triangle?(1 point)
Responses

48 cm2
48 cm squared

27 cm2
27 cm squared

75 cm2
75 cm squared

54 cm2

Answer 1

First, original area = 1/2·10·15 = 75 cm².

If the scale factor is 4/5, area scales by (4/5)² = 16/25, so dilated area = 75·16/25 = 48 cm².

Difference = 75 − 48 = 27 cm².

Answer: 27 cm².