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# Q.6 DL and BM are the heights on sides AB and AD respectively of parallelogram ABCD. If the area of the parallelogram is 1470$$cm^2$$, AB = 35 cm and AD = 49 cm, find the length of BM and DL.

Area of the parallelogram ABCD = base × height
= AB × DL= 1470 $$cm^ 2$$
Or, 35 cm × DL = 1470 $$cm^ 2$$
Or, DL= 1470/ 35
$$\therefore$$ DL = 42 cm
Area of the parallelogram ABCD = AD × BM
1470 $$cm^2$$ = 49 cm × BM
Or, 1470/ 49 = BM
$$\therefore$$ BM = 30 cm
Hence, BM = 30 cm and DL = 42 cm