question_answer

Count the number of triangles and squares in the given figure.

A) 40 triangles, 9 squares    

B) 38 triangles, 7 squares

C) 40 triangles, 7 squares              

D) 42 triangles, 9 squares

Correct Answer: C

Solution :

: Triangles: Triangles made up of one segment each: AFB, DEC, EML, FME, MFG, GML, NLG, NGH, NHK, NLK, OKH, OHI, OIJ, OJK, PJI, PIB, PBC, PCJ i.e., 18. Triangles made up of two segments each : LEG, EFL, FGL, GFE, LGK, GHK, HKL, HLG; KHJ, HIJ, UK, IKH.JIC, IBC, BCJ, BJI i.e., 16. Triangles made up of four segments each : GEK, HU, IKC, LFH, KGI, JHB i.e., 6. So, total number of triangles =18+16+6= 40. Squares: Squares made up of two segments each : MGNL, NHOK, OIPJ i.e., 3. Squares made up of four segments each: EFGL, LGHK, KHIJ, JIBC i.e., 4. So, total number of squares =3+4=7.