In a △ABC, D is the midpoint of AB; E is the midpoint of DB; and F is the midpoint of BC. If the area of △ABC is 96, then the area of △AEF is:

- 16
- 24
- 32
- 36
- 48

If you halve the base and don’t change the altitude, you halve the area.

△ABC: 96

△ABF: 48 (base is BC)

△DBF: 24; also △ADF (base is AB)

△DEF: 12 (base is DB)

△AEF = △ADF + △DEF = 24 + 12 = 36. Answer (d).