Solve

Study

Textbooks

Guides

Use app

Login

Question

In given figure

P

Q

R

S

is a parallelogram.

P

M

is the height from

P

to

S

R

and

P

N

is the height from

P

to

Q

R

. If

S

R

=

1

2

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

.

A

(i)

9

1

.

2

c

m

2

(ii)

1

1

.

4

c

m

.

B

(i)

1

.

2

c

m

2

(ii)

1

1

.

4

c

m

.

C

(i)

9

1

.

2

c

m

2

(ii)

1

.

4

c

m

.

D

None of these

Medium

Open in App

Solution

Verified by Toppr

Correct option is A)

(

i

)

Given:

S

R

=

1

2

c

m

,

P

M

=

7

.

6

c

m

∴

Area of parallelogram

=

S

R

×

P

M

=

1

2

×

7

.

6

=

9

1

.

2

c

m

2

(

i

i

)

Given:

Q

R

=

8

c

m

, Area of parallelogram

=

9

1

.

2

c

m

2

We know, Area of parallelogram

=

Q

R

×

P

N

⇒

9

1

.

2

=

8

×

P

N

⇒

P

N

=

8

9

1

.

2

⇒

P

N

=

1

1

.

4

c

m

Hence,

A

is the correct opton.

Was this answer helpful?

0

0

Similar questions

If

P

(

1

,

2

)

,

Q

(

4

,

6

)

,

R

(

5

,

7

)

and

S

(

a

,

b

)

are the vertices of a parallelogram

P

Q

R

S

, then :

Hard

View solution

>

In the above figure, the area of parallelogram

P

Q

R

S

is

2

4

and

Q

R

=

6

. If

Q

T

is perpendicular to

P

S

and if

T

is the midpoint of

P

S

, calculate the perimeter of

P

Q

R

S

.

Hard

View solution

>

The adjacent sides of a parallelogram 21 cm and 28 cm. If its one diagonal is 35 cm; find the area of the parallelogram.

Medium

View solution

>

In the given figure

P

Q

R

S

is a parallelogram. What are the coordinates of

R

?

Medium

View solution

>

In the figure, PQRS is a parallelogram,

P

M

⊥

R

S

a

n

d

R

N

⊥

P

S

. If PQ = l2cm,

P

M

=

6

c

m

and

R

N

=

8

c

m

,

then the length of PS is equal to :

Medium

View solution

>