AB=AE
S△ABE=S△ABP+S△AEP=AB*NP/2+AE*MP/2=AB(NP+MP)/2=√2 AB/2
又过B向AC作垂线,垂足为O
则正方形ABCD中BO=AB/√2
S△ABE=AE*BO/2=AB^2/2√2
∴√2 AB/2=AB^2/2√2
AB=2
SABCD=4
AB=AE
S△ABE=S△ABP+S△AEP=AB*NP/2+AE*MP/2=AB(NP+MP)/2=√2 AB/2
又过B向AC作垂线,垂足为O
则正方形ABCD中BO=AB/√2
S△ABE=AE*BO/2=AB^2/2√2
∴√2 AB/2=AB^2/2√2
AB=2
SABCD=4