Question

. 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:
(a) the area of the parallegram PQRS
(b) QN, if PS = 8 cm​

Answer 1

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Answer 2

Given:

• PQRS is a parallelogram.
• QM is the height from Q to SR and QN is the height from Q to PS.
• If SR is 12 cm and QM is 7.6 cm

To Find:

• The area of the parallegram PQRS
• QN, if PS = 8 cm

Solution:

As we are given here both base and height of parrallgram, so we can easily find area of parrallgram.

• Height (QM) = 7.6 cm
• Base (SR) = 12 cm

Area of parrallgram = Base × Height

$\sf \mapsto 12 \times 7.6$

$\sf\mapsto12 \times \dfrac{76}{10}$

$\sf \mapsto \dfrac{912}{10}$

$\sf \mapsto91.2 {cm}^{2}$

Hence,

• Area of parrallgram is 91.2 cm²

Now, Finding QN, if PS is 8 cm

Area of parrallgram = Base × Height

Where,

• Base (PS) = 8 cm,
• Height (QN) = ?

Putting values in formula:

$\sf \mapsto91.2 = 8 \times QN$

$</p><p>\sf \mapsto QN = \dfrac{91.2}{8}</p><p></p><p>$

$\sf \mapsto QN = \dfrac{ \cancel{912}}{ \cancel{8 }\times 10}</p><p>$

$\sf \mapsto QN = \dfrac{114}{10}$

$\sf \mapsto QN = 11.4cm$

Therefore,

(a) Area of parrallgram is 91.2 cm²

(b) Length of (QN) is 11.4 cm