A = 9.6 in²
Step-by-step explanation:
Since the triangles are similar, that means that their side lengths, and all lines put on respective locations, will be proportional.
1. Find the height of ∆BAC: A = 0.5 * bh --> 15 = 0.5 * 5 * h --> h₁ = 6 in.
2. Find the height of ∆EDF: 6/5 = h₂/4 --> 5h₂ = 24 --> h = 4.8 in.
3. Find the area of ∆EDF: A = 0.5 * 4.8 * 4 --> A = 9.6 in²
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