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  • Find the area of polygon MNOPQR (Fig 11.19) if MP = 9 cm, MD = 7 cm, MC = 6 cm, MB = 4 cm, MA = 2 cm NA, OC, QD and RB are perpendiculars to diagonal MP.

(iii)    Find the area of polygon MNOPQR (Fig 11.19) if MP = 9 cm, MD = 7 cm, MC = 6 cm, MB = 4 cm, MA = 2 cm NA,OC,QD  and RB are perpendiculars to diagonal MP.

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The area of polygon MNOPQR 

= area of \triangleMAN + area of trapezium ACON+area of  \triangleCPO + area of  \triangleMBR+area of trapezium BDQR+area of  \triangleDPQ

=(\frac{1}{2}\times 2\times 2.5)+(4\times\frac{(2.5+3)}{2})+(\frac{1}{2}\times 3\times 3)+(\frac{1}{2}\times 4\times 2.5)+(3\frac{(2.5+2)}{2})+(\frac{1}{2}\times 2\times 2)

=2.5+11+4.5+5+6.75+2

=31.75 cm^{2}

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seema garhwal

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