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Question -

DL and BM are the heights on sides AB and AD respectively of parallelogram ABCD. If the area of the parallelogram is 1470 cm2, AB = 35 cm and AD = 49 cm, find the length of BM and DL.



Answer -

Area of theparallelogram ABCD
= AB × DL
⇒ 1470 cm2 =35 cm × DL
⇒ 1470/35 DL
∴ DL = 42 cm
Area of the parallelogram ABCD = AD × BM
1470 cm2 = 49 cm × BM
⇒ 1470/49 = 30 cm
∴ BM = 30 cm
Hence, BM = 30 cm and DL = 42 cm

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