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DL and BM are the heights on sides AB and AD respectively of parallelogram ABCD (see the given figure). If the area of the parallelogram is 1470 cm2, AB = 35 cm and AD = 49 cm,

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Question

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

Sum
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Solution

Area of parallelogram = Base × Height

= AB × DL

1470 = 35 × DL

DL = `1470/35`

DL = 42 cm

Also, area of parallelogram = AD × BM

1470 = 49 × BM

∴ BM = `1470/49`

∴ BM = 30 cm

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