Question:
DL and BM are the heights on sides AB and AD respectively of parallelogram ABCD (Fig 9.15). If the area of the parallelogram is \(1470\) \(cm^2\) , AB = \(35\) \(cm\) and AD = \(49\) \(cm\), find the length of BM and DL.
DL and BM are the heights on sides AB and AD respectively of parallelogram ABCD (Fig 9.15). If the area of the parallelogram is \(1470\) \(cm^2\) , AB = \(35\) \(cm\) and AD = \(49\) \(cm\), find the length of BM and DL.
Updated On: Jan 11, 2024
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Solution and Explanation
\(\text{Area of parallelogram }= \text{Base} ×\text{ Height }\)
= \(AB × DL\)
\(1470 = 35 × DL\)
\(DL=\frac{1470}{35}=42\;cm\)
\(Also, \;1470 = AD × BM\)
\(1470 = 49 × BM\)
\(BM=\frac{1470}{49}=30\;cm\)
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