n figure, PSDA is a parallelogram. Points Q and R are taken on PS such that PQ = QR = RS and PA || QB || RC. Prove that ar (PQE) = ar (CFD).

If E, F, G and H are respectively the mid-points of the sides of a parallelogram ABCD, then ar(EFGH)=$\displaystyle \dfrac{1}{2}$  ar(ABCD)

The median of a triangle divides it into two triangles of equal areas.

PQRS is a square. T and U are respectively, the mid-points of PS and QR (Fig.). Find the area of ∆OTS, if PQ = 8 cm, where O is the point of intersection of TU and QS.

The base BC of ΔABC is divided at D, such that BD= $\displaystyle \dfrac{1}{2}$  DC. Prove that ar(ΔABD)= $\displaystyle \dfrac{1}{3}$  ar(ΔABC)

In figure, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. then

In ABCD is a parallelogram and EFCD is a rectangle. Also, AL⊥DC. then

ABCD is a parallelogram and BC is produced to a point Q such that AD = CQ (Fig.). If AQ intersects DC at P, then ar (BPC) = ar (DPQ). Triangles On The Same Base And Between The Same Parallels

ABCD is a parallelogram. E is a point on BA such that BE=2EA and F is a point on DC=2FC. Prove that AECF is a parallelogram whose area is one third of the area of parallelogram ABCD.

P, Q, R, S are respectively the midpoints of the sides AB, BC, CD and DA of parallelogram ABCD. Show that PQRS is a parallelogram then ar(∥PQRS)= $\displaystyle \dfrac{1}{2}$  ar(∥ABCD)

In the figure, area △ABC=27 cm² and EF∥BC. Find area of ∥ m ABCF.

X and Y are respectively two points on the sides DC and AD of the parallelogram ABCD. The area of △ABX is equal to k times area of △BYC.

In a parallelogram ABCD, AB = 8 cm. The altitudes corresponding to sides AB and AD are respectively 4 cm and 5 cm. Find AD.

In the given figure, ABCD is rectangle with AB = 5 cm, and BC = 3 cm. Find the area of the parallelogram ABEF.

ABCD is a parallelogram in which AB || CD and AB = CD = 10 cm. If the perpendicular distance between AB and CD be 8 cm, find the area of the parallelogram ABCD

ABCD is a parallelogram having area 240 cm 2 ,BC=AD=20 cm and BC∥AD, Find the distance between the parallel sides BC and AD.

ABCD is a parallelogram having area 160 cm 2 ,BC∥AD and the perpendicular distance between BC and AD is 10 cm. Find the length of the side BC.

ABCD is a parallelogram having area 200 cm² . If AB∥CD pints P and Q divide AB and DC respectively, find the area of the parallelogram APQD.

ABCD is a parallelogram having area 450 cm². If AB∥CD points P and Q divide AB and DC respectively in the ratio 1:2 find the area of the parallelogram PBCQ.

In fig ABCD is a trapezium in which AB= 7 cm, AD = BC = 5 cm. DC = x cm, and distance between AB and DC is 4 cm.Find the value of x and area of trapezium ABCD.

ABCD is a rectangle, ABEF is a parallelogram with area of 30 cm 2 and AB and CF are parallel. Find area of rectangle ABCD

Find the area of the quadrilateral whose Base is 5 m and Height is 4 m.

If the ratio of the altitude and the area of the parallelogram is 2:11, then find the base of the parallelogram.

A diagonal of a parallelogram divides into .........triangles of equal area.

In a parallelogram PQRS, PS = 12. The altitude to side PS is equal to 12cm. Find area of parallelogram PQRS.

ABCD is a parallelogram and Q is any point on side AD. If ar(△QBC)=10 cm² , find ar(△QAB)+ar(△QDC).

In the given figure △ABC is right angled at B in which BC=15 cm, and CA=17 cm. Find the area of acute-angled triangle △DBC, it being given that AD∥BC.

Triangles having the same base have equal area.

Check the given diagram and choose the correct answer

The △ABC and △EBC both have common base BC, then the area of △ABC is ..........the area of △EBD.

The perimeter of an equilateral triangle is 21 yard. What is the length of its each side?

If L be any Point on AB and the area of rectangle ABCD is 100 square cm. find area of △LCD

In the given figure, area (parallelogram ABCD)=48 cm² and FC∥AB. Find area of ∥gm ABEF.

P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD. If ar(APB)=kar(BQC), find k.

Two parallelograms are on the same base and between the same parallels. The ratio of their areas is :

A parallelogram and a square are on equal base and between the same parallel lines. Then the ratio of their areas is

A rectangle and a rhombus are on the same base and between the same parallels. The ratio of their areas is :

In △ABC if D is a point in BC and divides it in the ratio 3:5 i.e. if BD:DC=3:5 then ar (△ADC):ar(△ABC)=

From a point P which is at a distance of 13 cm from the centre O of a circle of radius 5 cm, the pair of tangents PQ and PR to the circle are drawn. Then the area of the quadrilateral PQOR is

If heights of two triangles are in the ratio 4:9 then find the ratio of their areas.