Let ABCD be a rectangle with sides AB = 3 and BC = 5. The rectangle is folded so that C ends up on AB with AC = 2 and BC = 1. Find the area of quadrilateral PCMN.
+1641 Let ABCD be a rectangle with sides AB = 3 and BC = 5. The rectangle is folded so that C ends up on AB with AC = 2 and BC = 1. Find the area of quadrilateral PCMN.
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Information of folded rectangle:
AB =3 AC = 2 BC = 1 CM + BM = 5
CM2 - (5 - CM)2 = 1 CM = 2.6 BM = 2.4
∠ACP ≅ ∠BMC ==> β = tan-1(1/2.4)
DN = 2 AN = 3
[PCMN] = 6 1/15
