Question 2 :
If the perimeter of a parallelogram is $50$ cm and one side is $12$ cm. what is the measure of the other side ?

Question 4 :
ABCD is a rectangle such that $AC+AB=5 AD$ and $AC-AD=8$, then the area of rectangle ABCD is 

Question 5 :
What is the minimum possible perimeter of a quadrilateral with an area of $1,600$ square feet?

Question 8 :
The adjacent sides of a parallelogram are 15 cm and 10 cm. If length of one diagonal of this parallelogram is 20 cm, the length of other diagonal will be

Question 9 :
Two parallelograms stand on equal bases and between the same parallels. The ratio of their areas is

Question 10 :
State true or false:<br/>$&#160;D, E&#160;$&#160;and&#160;$&#160;F&#160;$&#160;are the mid-points of the sides&#160;$&#160;AB, BC&#160;$&#160;and &#160;$&#160;CA&#160;$&#160;of&#160;an&#160;isosceles&#160;$&#160;\bigtriangleup&#160;ABC&#160;$ &#160;in which $ AB= BC $. then<br/>&#160;$&#160;\bigtriangleup&#160;DEF&#160;$ &#160;is also isosceles.<br/><br/>

Question 12 :
There exists a quadrilateral with a rotational symmetry of the order more than 1 but doesn't have a line symmetry.

Question 13 :
Match the following.<table class="wysiwyg-table"><tbody><tr><td>$(1)$ Rectangle</td><td>(p) A quadrilateral having its opposite sides equal and parallel.</td></tr><tr><td>$(2)$ Square</td><td>(q) A parallelogram having its opposite sides equal and each of the angle is a right angle.</td></tr><tr><td>$(3)$ Parallelogram</td><td>(r) A parallelogram having all sides equal and each of the angle is a right angle.</td></tr><tr><td>$(4)$ Rhombus</td><td>(s) A quadrilateral in which a pair of opposite sides are parallel.</td></tr><tr><td>$(5)$ Trapezium</td><td>(t) A parallelogram having all sides equal.</td></tr></tbody></table>

Question 16 :
A quadrilateral-shaped photo-frame has all sides equal. Which of the following is not a possible shape for the photo-frame.

Question 17 :
Can the angles $110^o, 80^o, 90^o$ &amp; $105^o$ be the angles of quadrilateral?

Question 18 :
Given that ABCD is a parallelogram. If AC is perpendicular to BD but is not equal to it then ABCD is a Rhombus.<br/>

Question 19 :
If an angle of a parallelogram is 24$^o$ less than twice the smallest angle, then the value of largest angle of the parallelogram is

Question 20 :
PQRS is a parallelogram and $\angle 1$ and $\angle 2$ are two&#160;exterior,angles, then&#160;$\angle 1=\angle 2=\angle 3=\angle 4$

Question 21 :
The perimeter of a parallelogram ABCD = 40 cm, AB = 3x cm, BC = 2x cm and CD = 2(y +1) cm. Find the values of x and y.

Question 22 :
The angles of a quadrilateral are in the ratio 3 : 2 : 4 : 1. Find the angles. Assign a special name to the quadrilateral.

Question 23 :
The diagnols of a parallelogram $PQRS$ are along the line $x+3y=4$ and $6x-2y=7$ then $PQRS$ must be a

Question 24 :
If in quadrilateral $ABCD$, $AB \parallel CD$, then $ABCD$ is necessarily a

Question 25 :
One side of a parallelogram has length $3$ and another side has length $4$. Let $a$ and $b$ denote the lengths of the diagonals of the parallelogram. Which of the following quantities can be determined from the given information ?<br/>(l) a$&#160; + &#160;b$&#160; &#160; &#160; (II)$\&#160; a^{2}+b^{2}$&#160; &#160; &#160; (III)$\&#160; a^{3}+b^{3}$<br/>

Question 26 :
Let ABCD be a parallelogram such that AB = q , AB = p, and $\angle BAD $ be an acute angle. If r is the vector that coincides with the altitude directed from the vertex B to the side AD, then r is given by

Question 27 :
A school was having 4 Hexagonal buildings joined to each other. They wanted to utilize the space between the 4 buildings to make a playground. The shape is that of a parallelogram. Can you find the measure of the angles as opposite angles are equal?

Question 29 :
If two sides of a parallelogram are $6$ and $8$ and one diagonal is $7$, what is the length of the other diagonal?

Question 30 :
Let ABCD be a parallelogram such that AB = q , AB = p, and $\angle BAD $ be an acute angle. If r is the vector that coincides with the altitude directed from the vertex B to the side AD, then r is given by