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)`.

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

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 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 a trapezium in which AB || DC . M and N are the mid-points of AD and BC respectively. If AB = 12 cm, and MN = 14 cm, find CD.

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).

ABCD is a trapezium in which AB || DC, AB?78 cm, CD = 52 cm. AD = 28 cm and BC =30cm . Find the area of the trapezium.

ABCD is a trapezium in which AB || DC and E is the mid-point of AD. If F be a point on BC such that EF || DC, then prove that EF=1/2(AB+DC).

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).

ABCD is a trapezium with parallel sides AB = a cm and DC = 6 cm E and F are the mid-points of the non-parallel sides. The ratio of ar (ABFE) and ar (EFCD) is

ABCD is a trapezium with parallel sides AB = a cm and DC = 6 cm E and F are the mid-points of the non-parallel sides. The ratio of ar (ABFE) and ar (EFCD) is