Home
Class 9
MATHS
In a trapezium ABCD, AB || DC, AB = a cm...

In a trapezium ABCD, AB || DC, AB = a cm, and DC = b cm. If M and N are the midpoints of the nonparallel sides, AD and BC respectively then find the ratio of ar(DCNM) and ar(MNBA).

Text Solution

Verified by Experts

The correct Answer is:
`(3a + b) : (a + 3b)`
Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise (long Answer Question)|5 Videos

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise (very Short Answer Questions)|10 Videos

  • CIRCLE

    NAGEEN PRAKASHAN|Exercise Revision Exercise (long Answer Questions )|5 Videos

Similar Questions

Explore conceptually related problems

In a trapezium ABCD,AB |DC,AB=acm, and DC=bcm. If M and N are the midpoints of the nonparallel sides,AD and BC respectively then find the ratio of ar(DCNM) and ar(MNBA).

In trapezium ABCD, AB || DC AB=16cm, DC=10cm, AD=CB=5cm then its area is cm^2.

In figure, if DE abs() BC, then find the ratio of ar ( DeltaADE ) and ar(DECB).

ABCD is a trapezium in which AB || DC a and DC= 40 cm and AB = 60 cm. If X and Y a re respectively, the midpoints of AD and BC, then XY=

ABCD is a trapezium with AB|DC.E and F are points on non-parallel sides AD and BC respectively such that EF is parallel to AB. Show that (AE)/(ED)=(BF)/(FC)

ABCD is a trapezium in which AB |DC,AB=16cm and DC=24cm. If E and Fare respectively the midpoints of AD and BC prove that ar(ABFE)=(9)/(11)ar(EFCD)

ABCD is trapezium in which AB||DC , DC = 30 cm and AB = 50 cm. If X and Y are, respectively the mid-points of AD and BC, prove that ar (DCYX) = (7)/(9) ar (XYBA) .

In a trapezium ABCD, DC || AB , AB = 12 cm and DC = 7.2 cm. What is the length of the line segment joining the mid- points of its diagonals?

P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD.Show that ar (APB)=ar(BQC)