Question

Question 6

DL and BM are the heights on sides AB and AD respectively of parallelogram ABCD. 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

Given: Area of parallelogram = 1470 $c{m}^2$
Base (AB) = 35 cm and base (AD) = 49 cm
Since, area of parallelogram = $base\times height$
On substituting the values we get,
$\Rightarrow$ $1470=35\times DL$
$\Rightarrow$ $DL=\frac{1470}{35}$
$\Rightarrow$ 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.