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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.
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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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