Answer:
48 sq in
Explanation:
Given ∆ABC ~ ∆DEF, DE = 60, AB = 12, and the area of ∆DEF is 1200 square inches, you want the area of ∆ABC.
Area ratio
For similar figures, the ratio of areas is equal to the square of the ratio of their linear dimensions:
(Area ∆ABC)/(Area ∆DEF) = (AB/DE)²
Area ∆ABC = (1200 sq in) × (12/60)² = 1200/25 sq in
Area ∆ABC = 48 sq in