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Q. 5. $PQRS$ is a parallelogram (Fig 11.23). $QM$ is the height from $Q$ to $SR$ and $QN$ is the height from $Q$ to $PS$ . If $SR=12 \; cm$ and $QM=7.6 \; cm.$ Find:

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

Answers (1)

best_answer

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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Riya

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