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Verified answer
ED = 24 - 16 = 8 cmED/DC= EF/BC
8/16 = EF/24
1/2 = EF/24
EF = 24 : 2
EF = 12 cm
L. ΔBCD = (24 x 16)/2
=>12 x 16
=>192 cm²
L. ΔDEF = (8 x 12)/2
=>8 x 6
=>48 cm²
L. Tot= 192 + 48 = 240 cm²