“The diagonals of a parallelogram are always equal to each other". Is this statement true or false?

The perimeter of a rectangle is 42 cm. If its diagonal is 15 cm long, find the breadth of the rectangle. 

(A) 8 cm. 

(B) 10 cm. 

(C) 9 cm. 

(D) 7 cm. 

Land is acquired for road widening from a square ground, as shown in the figure. The width of the acquired land is $2 \mathrm{m}$. Area of the remaining ground is $440 {\mathrm{m}}^2$. What is the shape of the remaining ground?

X, Y and Z are the midpoints of the sides of ∆PQR. If the perimeter of ∆XYZ is 32 units, find the perimeter of ∆PQR.

 (A) 128 units 

(B) 64 units 

(C) 96 units 

(D) 160 units 

Which quadrilateral is formed when all sides of a parallelogram are made to be equal and all its interior angles are right angles?

Which quadrilateral is formed when a parallelogram has all four sides equal and interior angles are not $ {90}^{0}$ ?

Define: a trapezium

Carefully observe! Is the given figure, a parallelogram?

$ABCD$ is a rectangle, its diagonals meet at $O$. Find $x$, if $OA=2x+4$ and $OD=3x+1$.

In the parallelogramXYWZ, length of side XY is double the length of side YW. Length of the side ZW = _____ inches.