Area P6 2010 SA2 Rosyth P2 Q15

Given ABCD is a square so Angle DAC = BAC = 45 degree. Thus AGFH is also a square and hence GF = FH.

Area of triangle ABF = Area of triangle AFI = Area of triangle BFI (since base and height are the same)

1/2 x 6 x 12 = 36

36/3 = 12 cm2

1/2 x 12 x 12 = 72 cm2

72 - 12 = 60 cm2

It is 60 cm2.