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Which has only one pair of parallel sides?

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Important Questions on Quadrilaterals

HARD
Let ABCD be a trapezium, in which AB is parallel to CD, AB=11, BC=4, CD=6 and DA=3 . The distance between AB and CD is
MEDIUM
ABCD is a trapezium in which AB is parallel to DC and 2AB=3DC. The diagonals AC and BD intersect at O. What is the ratio of the area of triangle AOB to that of triangle DOC?
EASY
The lengths of two diagonals of a rhombus are 10 cm and 24 cm. What is the area (in cm2) of the rhombus?
HARD
Let ABCD be a trapezium with AD parallel to BC. Assume there is a point M in the interior of the segment BC such that AB=AM and DC=DM. Then, the ratio of the area of the trapezium to the area of ΔAMD is
MEDIUM
ABCD is a trapezium in which ABDCAB=50 cm, BC=20 cm, AD=1 cm and the difference between (in cmDC and AB is a whole number. Find the area of the trapezium.
MEDIUM

How many quadrilaterals are there in the given figure?

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MEDIUM
The diagonals of a rhombus are 32 cm and 60 cm. What is the perimeter of the rhombus?
EASY
The diagonals of a rhombus are of length 20 cm and 48 cm. What is the length of a side of the rhombus?
 
MEDIUM

The accompanying figure shows a right + trapezoid ADBC Based on this information and the information in the figure, the area of the trapezoid (in m2) is 

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MEDIUM
The lengths of parallel sides of a trapezium are 60 m and 80 m respectively. If the distance of its parallel sides is 20 m, find the area of the trapezium
MEDIUM

In the given figure, ABCD is a rhombus in which c=60°, then AC:BD will be

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EASY
In trapezium ABCDDCABAB=12 cm and DC=7.2 cm. What is the length of the line segment joining the mid points of its diagonals?
MEDIUM
The diagonals of a rhombus are 15 m and 20 m long. Find its area. 
MEDIUM

A rectangle with 12 cm and 4 cm, reformed into a Rhombus. Both diagonals of Rhombus are equal and one of its angle is 60o. Find the Area of Newly formed Rhombus.

EASY
One diagonal of a rhombus is 83 cm. If the other diagonal is equal to its side, then the area (in cm2) of the rhombus is:
MEDIUM
How many different (mutually non-congruent) trapeziums can be constructed using four distinct side lengths from the set 1, 3, 4, 5, 6 ?
EASY
A wire is in the form of a circle of radius 70 cm. If it is bent in the form of rhombus, then what is its side length?Take π=227
MEDIUM
In a trapezium ABCD, AB is parallel to DC. The diagonals AC and BD intersect at P. If AP:PC=4:(4x-4) and BP:PD=(2x-1):(2x+4), then what is the value of x?
MEDIUM
In an isosceles trapezium, the length of one of the parallel sides, and the lengths of the non-parallel sides are all equal to 30. In order to maximize the area of the trapezium, the smallest angle should be:
MEDIUM
Suppose ABCD is a trapezium whose sides and height are integers and AB is parallel to CD. If the area of ABCD is 12 and the sides are distinct, then |AB-CD| is