Question

PQRS is a parallelogram (in the given figure).QM is the height from Q to SR and QN is the height from Q to PS.if SR=12cm and QM=7.6cm.find (a) the area of the parallelogram PQRS. (b) QN,if PS =8cm.

Answer 1

ANSWER.



✦PART (a )

☞GIVEN .


Hight = 7.6 cm. Base = 12cm

✺FORMULA USED.


Area of parllagram =. Base × Height


✍SIMPLIFICATION. =>



AREA OF PARLLAGRAM

$= 7.6 \times 12$


$91.2 {cm}^{2}$

✦PART. ( b)


✺FORMULA. USED


AREA = BASE × HEIGHT

☞GIVEN

PS = 8cm

Area = 91.2 cm² ( just proved above. )


prove = QN ?

✍SOLUTION



AREA = BASE × HEIGHT



$91.2 {cm}^{2} = 8 \times height$

.
. .


$height = \frac{91.2 {cm}^{2} }{8}$


height = 11.4 cm


HENCE
(a) 91.2 cm²

(b) 11.4 cm