∵∠BAD=90°,AD=3,AB=4
∴DB^2=AD^2+AB^2=3^2+4^2=25
∴DB=5
∵∠DBC=90°,BC=12
∴CD^2=DB^2+BC^2=5^2+12^2=169
∴CD=13
∴ABCD的面积=S△DAB + S△DBC
=1/2*DA*AB + 1/2*DB*BC
=1/2*3*4 + 1/2*5*12
= 6+30
= 36
∵∠BAD=90°,AD=3,AB=4
∴DB^2=AD^2+AB^2=3^2+4^2=25
∴DB=5
∵∠DBC=90°,BC=12
∴CD^2=DB^2+BC^2=5^2+12^2=169
∴CD=13
∴ABCD的面积=S△DAB + S△DBC
=1/2*DA*AB + 1/2*DB*BC
=1/2*3*4 + 1/2*5*12
= 6+30
= 36