ABCD is a square of side length 1, and M and N are the midpoints of sides AB and BC, respectively. AN and CM intersect at P. Find the area of quadrialteral APCB..
AQ = (√2)/2
∠BAN = tan-1(1/2)
∠PAQ = 45º - ∠BAN
PQ = tan∠PAQ * AQ
Area of quadrilateral APCB = 1/3 units2
You have an error there. That area cannot be larger than 1 half of the square's area!!!