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# Divide the following polygons (Fig 11.17) into parts (triangles and trapezium) to find out its area.

(i)    Divide the following polygons (Fig 11.17) into parts (triangles and trapezium) to find out its area.

FI is a diagonal of polygon EFGHI         NQ is a diagonal of polygon MNOPQR

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(i)

Area of  polygon EFGHI = area of $\triangle$EFI + area of quadrilateral FGHI

Draw a diagonal FH

Area of  polygon EFGHI = area of $\triangle$EFI + area of $\triangle$ FGH + area of $\triangle$FHI

Area of polygon MNOPQR = area of quadrilateral NMRQ+area of quadrilateral NOPQ

Draw diagonal NP and NR .

Area of polygon MNOPQR = area of $\triangle$NOP+area  of $\triangle$NPQ +area of $\triangle$NMR +area of $\triangle$ NRQ

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