Prove that Rectangle is a Parallelogram?

In the figure given below, a rectangle of perimeter $76$ units is divided into $7$ congruent rectangles:

What is the perimeter of each of the smaller rectangles?

A rectangular garden of length $12 m$ is surrounded by a $2 m$ wide path. If the area of the garden is $84 m^2$ and the cost of gravelling is $₹8$ per $m^2$, then what is the total cost of gravelling the path?

If the length and breadth of a rectangle are increased by 10% and 70% respectively, the increase in the area of the rectangle will be: 

(A) 87% 

(B) 92% 

(C) 96% 

(D) 95% 

$5 : 18$ is the ratio of the length and perimeter of a rectangle. What would be the ratio of its length and breadth?

Prove that quadrilateral formed by the intersection of angle bisectors of all angles of a parallelogram is a rectangle.