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
4
5
. 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

75 cm2
cm
2

75 cm squared

27 cm2
cm
2

27 cm squared

54 cm2
cm
2

54 cm squared

48 cm2
cm
2

48 cm squared

Answer 1

Original area = 1/2 × 10 × 15 = 75 cm².
Scale factor = 4/5 so area scale = (4/5)² = 16/25.
Dilated area = 75 × 16/25 = 48 cm².
Difference = 75 − 48 = 27 cm².

Answer: 27 cm².