Question
Find the number of parallograms in the given
problem figure.Solution
Now,
(i) We have 6 simplest parallelograms namely, ABKJ, BCLK, CDEL, JKHI, KLOGH, LEFG. (ii) The parallelograms composed of two components are ACLJ, BDEK, CKFG, EFHK; LGIJ, HIAB and, BCGH and their number is 7. (iii) The parallogram composed of four components are ACGI and BDFH and their number is 2. (iv) The parallogram composed of six elements is ADFI, i.e.., one only. ∴ The total number of parallelograms = 6+7+2+1 = 16
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