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.

Answer 1

\(\text{Area of parallelogram }= \text{Base} ×\text{ Height }\)

= \(AB × DL\)

\(1470 = 35 × DL\)

\(DL=\frac{1470}{35}=42\;cm\)

\(Also, \;1470 = AD × BM\)

\(1470 = 49 × BM\)

\(BM=\frac{1470}{49}=30\;cm\)