Sheet # 71 Critical Thinking

Name: _____________________ Date_____________

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