∴∠FBD=∠CBD
∫ AD ∨ BC
∴∠CBD=∠FDB
∴∠FDB=∠FBD
∴BF=DF
At Rt△ABF.
AB? +AF? =BF?
15? +(20-BF)? =BF?
BF= 15.625( 125/8)
AF = 20- 15.625 = 4.375(20- 125/8 = 35/8
∴S△BDF (overlapping) = 1/2S rectangle -S△ABF
= 1/2×20× 15- 1/2× 15×4.375
= 150-32.8 125
= 1 17. 1875