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 1

Given : area of parallelogram=1470 cm
Base (AB)= 35 cm and base (AD)= 49 cm
Since area of parallelogram = $base\times height$
$\Rightarrow$ $1470=35\times DL$
$\Rightarrow$ $DL=\frac{1470}{35}$
$\Rightarrow$ DL=42 cm
Again, Area of parallelogram = $base\times height$
$\Rightarrow$ $1470=49\times BM$
$\Rightarrow$ $BM=\frac{1470}{49}$
$\Rightarrow$ BM=30 cm
Thus, the lengths of DL and BM are 42 cm and 30 cm respectively