
A transversal cuts two parallel lines at and . The two interior angles at are bisected and so are the
two interior angles at ;the four bisectors form a quadrilateral . Prove that is a rectangle

two interior angles at ;the four bisectors form a quadrilateral . Prove that is a rectangle

Important Questions on Quadrilaterals









A rectangular garden of length is surrounded by a wide path. If the area of the garden is and the cost of gravelling is per , then what is the total cost of gravelling the path?

What is the area of this trapezoidal garden (All measurements are in cm)?
1. sq.cm
2. sq.cm
3. sq.cm
4. sq.cm

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





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


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%

In the figure given below, a rectangle of perimeter units is divided into congruent rectangles:
What is the perimeter of each of the smaller rectangles?

