Question

DL and BM are the heights on sides AB and AD respectively of parallelogram ABCD (Figure). If the area of the parallelogram is $1470c{m}^2$,$AB$$=35cm$ and $AD$$=49cm$, find the length of BM and DL.

Answer 1

From the give figure we note that

Area of the parallelogram = $1470c{m}^2$

$AB=35cm$

$AD=49cm$

$Areaoftheparalle\log ram=base\times height$

$\Rightarrow 1470=AB\times BM$

$\Rightarrow 1470=35\times DL$

$DL=\frac{1470}{35}$

$DL=42cm$

$Areaoftheparalle\log ram=base\times height$

$\Rightarrow 1470=AD\times BM$

$1470=49\times BM$

$BM=\frac{1470}{49}$

$BM=30cm$

Hence, $BM=30cm$ and $DL=42cm$ is the correct answer.