Test: Areas Of Parallelograms And Triangles- 1 - Class 9 MCQ

ABC is a triangle in which D is the mid-point of BC. E and F are mid-points of DC and AE respectively. If ar(△ABC)=16cm², then ar(△DEF) is 

The median of a triangle divides it into two

A, B, C, D are mid-points of sides of parallelogram PQRS. If ar(PQRS) = 36cm², then ar (ABCD) is

PQRS is a trapezium with PQ║SR. A line parallel to PR intersects PQ at X and QR at Y. If ar(△PYR) = 5cm²,then ar(△PXS) is 

In the given figure, ABCD is a rectangle and EFGH is a trapezium DE = CH. If ar(ABCD)=26cm², then ar (EFGH) is

If AD is median of △ABC and P is a point on AC such that ar(△ADP):ar(△ABD) = 2:3, then ar(△PDC) : ar(△ABC) is

ABCD is quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD

ABCD is a trapezium in which AB║DC.If ar(△ABD) = 24cm²and AB = 8 cm, then the height of △ABC is

D and E are mid-points of BC and AD respectively. If ar(△ABC) = 10cm², then ar(△EBC)ar is 

ABCD, ABEF and AGHF are parallelograms. If ar(ABCD) = 23cm², then ar (FGH) is

The altitude of a parallelogram is twice the length of the base and its area is 1250cm². The lengths of the base and the altitude respectively are :

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

In the given figure if ar(║ABCD)=29cm² and AB = 5.8 cm, then the height of ║ABEF is 

Points A, B, C, and D are collinear. AB = BC = CD. XY║AD. If P and M lie on XY and ar(△MCD) = 7cm²,then ar(△APB) and ar(△APD) respectively are

ABCD is a parallelogram in which DC is produced to P such that DC = CP. AP intersects BC at Q. If ar(△BQD) = 3cm²,then ar(║ABCD) is

ABCD is a parallelogram one of whose diagonals is AC. Then, which of the following is true?

If a triangle and a parallelogram are on the same base and between the same parallels, then the ratio of the area of the triangle to the area of the parallelogram is

AP ║ BQ ║ CR. If ar(△AQC)=17cm², then ar(△PBR)ar(△PBR) is

If E and F are mid-points of sides AB and CD respectively and ar(║ABCD)=36cm²,thenar(APD):ar(DEF)

PQRS is a parallelogram whose diagonals PR and SQ intersect at O. A line segment through O meets PQ at A and SR at B. If ar(PQRS) = 25cm², then ar (SBAP) is

In the figure, ABCD is a parallelogram and EFCD is rectangle. Now which of the following is correct option ?

Diagonals AC and BD of trapezium ABCD in which AB ║ DC, intersect each other at O. The triangle which is equal in area to triangle AOD is