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# PQRS is a parallelogram (Fig 11.23). QM is the height from Q to SR and QN is the height from Q to PS. (b) QN, if PS = 8 cm

Q.  5.    $\inline PQRS$ is a parallelogram (Fig 11.23). $\inline QM$ is the height from $\inline Q$ to $\inline SR$ and $\inline QN$ is the height from $\inline Q$ to $\inline PS$. If$\inline SR=12 \; cm$ and

$\inline QM=7.6 \; cm.$ Find:

(b) $QN$, if $PS=8\; cm$.

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We know that

Area of parallelogram  $= base \times height$

Here,

Base of parallelogram = 12 cm

and

Height of parallelogram = 7.6 cm

$\Rightarrow 12 \times 7.6 = 91.2 \ cm^2$

Now,

Area is also given by $QN \times PS$

$\Rightarrow 91.2 = QN \times 8$

$\Rightarrow QN = \frac{91.2}{8} = 11.4 \ cm$

Therefore, value of QN is  $11.4 \ cm$

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