Question

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

Answer 1

Given, Area $=1470c{m}^2$,

$AB=35$cm and $AD=49cm$

then $BM=?,DL=?$

Considering AB$=$Base;

Area $=$Base$\times$ height

$\Rightarrow 1470c{m}^2=AB\times DL$

$\Rightarrow 1470c{m}^2=35cm\times DL$

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

$\Rightarrow DL=42$cm

Now considering $AD=$ Base,

Area $=$ Base$\times$ height

$\Rightarrow 1470c{m}^2=AD\times BM$

$\Rightarrow 1470c{m}^2=49cm\times BM$

or $BM=\frac{1470}{49}=30$ cm

$\therefore$ Hence, $DL=42$cm and $BM=30$ cm.