Sir/Madam can you please solve question no. 20

Sir/Madam can you please solve question no. 20 THEOREMS Fig. 12.38 20. In Fig. 12.39. M and A: are the mid-points of the sides DC' and AB of the paranelogram and the area Of parallelograrn AP,CT) IS 36 cm• (i) State the area of the triangle BEC ANSWERS Ch 12-11 (ii) Namc the parallelogram Which is equal in area to the triangle BEG. (ICSE) Fig. 12.39 A POR 21b

Dear student,
(i)
Here Triangle BEC and parallelogram ABCD are lying on same base BC and in between same parallel pair AD and BC, so,
ar(Triangle BEC)=(1/2)ar(ABCD)
=>ar(Triangle BEC)={(1/2)x36} sq.cm=18 sq.cm.
(ii) Here according to the figure, since M and N are mid points of DC and AB respectively, so,
ar(parallelogram MCBN)=(1/2)ar(parallelogram ABCD)
=>ar(MCBN)=ar(Triangle BEC) [By (i)]

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