Sheet # 71 Critical Thinking
Name: _____________________ Date_____________
Use drawings, words, or numbers to explain how you got your answer.
If the area of square ABCD is 100 sq. meters, what is the area of square EFGH?
Answer for sheet # 71
Side BC = 10 m
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