Question

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. [4 MARKS]

Answer 1

Formula: 1 Mark
Steps: 1 Mark
Each Answer: 1 Mark

Given: area of parallelogram = 147 cm
Base (AB) = 35 cm and base (AD) = 49 cm
Since area of parallelogram = $\text{base}\times \text{height}$
On substituting the values we get,
$\Rightarrow$ $1470=35\times DL$
$\Rightarrow$ $DL=\frac{1470}{35}$
$\Rightarrow$ DL = 42 cm

Again, Area of parallelogram = $\text{base}\times \text{height}$
$\Rightarrow$ $1470=49\times BM$
$\Rightarrow$ $BM=\frac{1470}{49}$
$\Rightarrow$ BM = 30 cm
Thus, the lengths of DL and BM are 42 cm and 30 cm respectively.