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If the area of square ABCD is 100 meters, what is the area of square EFGH?
Answer for sheet # 71
Side BC = 10 m since area is 100 sq.cm and it is a square
Side BF = 10 cm/2 = 5 cm
BE = 5cm
Area of triangle = ( 5cm x 5cm)/2 = 12.5 sq. cm
Triangles: BEF, FGC, AHE, HDG are all congruent triangles.
Area of 4 triangles = 4 x 12.5 sq. com = 50 sq. cm
Area of the square EFGH = 100 sq. cm - 50 sq. cm = 50 sq.cm