List of top Mathematics Questions on Plane Figures

If the plane $x/2 - y/3 - z/5 = 1$ cuts the co-ordinate axes in points A, B, C respectively, then the area of the triangle ABC is ______.
If the plane $\frac{x}{2} + \frac{y}{3} + \frac{z}{6} = 1$ cuts the co-ordinate axes at points A, B, C respectively, then area of the triangle ABC is ______.
A rectangular paper folded in two has perimeter 34 cm (one direction) and 38 cm (other direction). What is the area of the paper?
A rectangular paper, folded into two congruent parts, has a perimeter of 34 cm for each part when folded along one set of sides, and 38 cm when folded along the other set. What is the area of the paper (sq. cm)?
The length of a rectangle is 13 cm and breadth is 10 cm. If length becomes 25 cm while area remains the same, find the new breadth.
DIRECTION for the question: In the following question, find the number of squares in the given figure.
DIRECTION for the question: In the following question, find the number of triangles in the given figure.
Which region in the Venn diagram represents students who play Volleyball or Football or both but Basketball?
In a rectangle, the difference between the sum of the adjacent sides and the diagonal is half the length of the longer side. What is the ratio of the shorter to the longer side?
In a triangle ABC, If, AB = 6, BC = 8 and AC = 10. Further, if a perpendicular which is dropped from B, meets the side AC at D. A circle of radius BD (with center (b) is drawn. If the circle cuts AB and BC at P and Q respectively, the AP:QC will be equal to which of the following?
The base of a vertical pillar with uniform cross section is a trapezium whose parallel sides are of lengths 10 cm and 20 cm while the other two sides are of equal lengths. The perpendicular distance between the parallel sides of the trapezium is 12 cm. If the height of the pillar is 20 cm, then determine the total area, in sq cm, of all six surfaces of the pillar?
ABCD is a trapezium in which AB is parallel to CD. The sides AD and BC when extended, intersect at point E. If AB = 2 cm, CD = 1 cm, and perimeter of ABCD is 6 cm, then the perimeter, in cm, of $\triangle$AEB is:

Find the number of triangles in the given figure:

Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square. 

Select the alternative which represents three out of the five alternative figures which when fitted into each other would form an equilateral triangle. 

A courtyard is 30 meters long and 20 meters broad and is to be paved with bricks of dimensions 15 cm by 10 cm. What will be the number of bricks required?
Find the area of a triangle with base 8 cm and height 6 cm.
Find the area of a triangle with base 12 cm and height 5 cm.
There are 8436 steel balls, each with a radius of 1 centimeter, stacked in a pile, with 1 ball on top, 3 balls in the second layer, 6 in the third layer, 10 in the fourth, and so on. Determine the number of horizontal layers in the pile ?
A student is standing with a banner at the top of a 100 m high college building. From a point on the ground, the angle of elevation of the top of the student is $60^{\circ$ and from the same point, the angle of elevation of the top of the tower is $45^{\circ}$. Find the height of the student ?}
How many isosceles triangles with integer sides are possible such that sum of two of the side is 12?
In a triangle ABC, AD is the bisector of angle A. If AC = 4.2 cm, DC = 6 cm, BC = 10 cm, then find AB?

If the Angle PQS is 35°, determine the Angle QRS: 

The length of a room exceeds its breadth by 2 meters. If the length be increased by 4 meters and the breadth decreased by 2 meters, the area remains the same. Find the surface area of its walls if the height is 3 meters?

How many minor sectors are there in the figure given below?