Sheet # 71 Critical Thinking
Name: _____________________ Date_____________
Show and explain your work. Draw pictures or make tables to explain your answer.
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