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    Question

    Find the number of parallograms in the given

    problem figure.
    A 18 Correct Answer Incorrect Answer
    B 12 Correct Answer Incorrect Answer
    C 22 Correct Answer Incorrect Answer
    D 16 Correct Answer Incorrect Answer

    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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