In the given figure- ABQP and ABCD are two parallelograms on the same base AB- Area of parallelogram ABCD is equal to -

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Triangles between Same Parallels

In the given ...

Question

In the given figure, ABQP and ABCD are two parallelograms on the same base AB. $\frac{A r e a o f p a r a l l e l o g r a m A B C D}{A r e a o f t r i a n g l e P A B} i s e q u a l t o :$

__

Open in App

Solution

ABQP is a parallelogram. Therefore,
$a r (△ P A B) = \frac{1}{2} a r (A B Q P)$ (since diagonal of a parallelogram divides it into 2 equal areas)
But, ar(ABQP) = ar(ABCD) (parallelograms on the same base and between the same parallels)
$T h e r e f o r e, a r (A B C D) = 2 \times a r (△ P A B)$
$H e n c e, \frac{A r e a o f p a r a l l e l o g r a m A B C D}{A r e a o f t r i a n g l e P A B} = 2$

Suggest Corrections

Similar questions

In the given figure, ABQP and ABCD are two parallelograms on the same base AB. $\frac{Area of parallelogram ABCD}{Area of triangle PAB}$ is equal to:

In the given figure, ABQP and ABCD are two parallelograms on the same base AB. $\frac{A r e a o f p a r a l l e l o g r a m A B C D}{A r e a o f t r i a n g l e P A B}$ is equal to:

In the given figure, ABCD and DPQR are parallelograms. Area of ABCD is equal to the area of _______.

Q. Given two parallelogram

A B C D

and

C D E F

on the same base

C D .

The height of parallelogram

A B C D

is same as the height of parallelogram

C D E F .

Area of

A B C D

50 m^{2}

. Find the area of parallelogram

C D E F .

Two parallelograms ABCD, EFGH are on equal bases AB and EF and between the same parallel lines. If area (||gm ABCD) = 140 sq cm, then sum of areas of the two parallelograms is.

Join BYJU'S Learning Program

In the given figure, ABQP and ABCD are two parallelograms on the same base AB. Area of parallelogram ABCDArea of triangle PAB is equal to: __

In the given figure, ABQP and ABCD are two parallelograms on the same base AB. $\frac{A r e a o f p a r a l l e l o g r a m A B C D}{A r e a o f t r i a n g l e P A B} i s e q u a l t o :$

__