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Standard VIII

Mathematics

Identifying Shapes and Areas of Different Regular Figures

36.PQRS is a ...

Question

36.PQRS is a parallelogram in which QR is produced to E such QR=RE,PE intersects SR at F.Ar(SFQ)=3 cm square,Find Area of PQRS

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Q. In given figure

P Q R S

is a parallelogram.

P M

is the height from

P

¯ ¯¯¯¯¯¯ ¯ S R

and

P N

is the height from

P

¯ ¯¯¯¯¯¯¯ ¯ Q R

. If

S R = 12 c m

and

P M = 7.6 c m

.
(i) Find the area of the parallelogram

P Q R S

(ii) Find

P N

, if

Q R = 8 c m

Q. PQRS is a parallelogram. PM is the height from P to

¯ ¯¯¯¯¯¯ ¯ S R

and PN is the height from P to

¯ ¯¯¯¯¯¯¯ ¯ Q R

. If SR=12 cm and PM=7.6 cm. Find the area of the parallelogram PQRS.

Q. In figure 5.55

□

PQRS is a parallelogram, in which A is mid-point of side SR and point B is a point on diagonal PR. such that RB =

\frac{1}{4}

PR. Also, AB when produced meets QR at C. Prove that, point C is mid-point of side QR.

P Q R S

is a parallelogram.

P S

is produced to meet

M

so that

S M = S R

and

M R

is produced to meet

P Q

produced at

N

. Prove that

Q N = Q R .

In a parallelogram $P Q R S,$ $P Q = 12 c m$ and $P S = 9 c m .$ The bisector of $∠ P$ meets $S R$ in $M .$ $P M$ and $Q R$ both when produced meet at $T .$ Find the length of $R T .$

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