English Medium इयत्ता ९ - CBSE Question Bank Solutions

In the following figure, if parallelogram ABCD and rectangle ABEM are of equal area, then ______.

ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD ______.

An isosceles right triangle has area 8 cm². The length of its hypotenuse is ______.

The area of the isosceles triangle is `5/4 sqrt(11)` cm², if the perimeter is 11 cm and the base is 5 cm.

If the side of a rhombus is 10 cm and one diagonal is 16 cm, the area of the rhombus is 96 cm².

The cost of levelling the ground in the form of a triangle having the sides 51 m, 37 m and 20 m at the rate of Rs 3 per m² is Rs 918.

The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 13 m, 14 m and 15 m. The advertisements yield an earning of Rs 2000 per m² a year. A company hired one of its walls for 6 months. How much rent did it pay?

From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. The lengths of the perpendiculars are 14 cm, 10 cm and 6 cm. Find the area of the triangle.

The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3 : 2. Find the area of the triangle.

Find the area of a parallelogram given in figure. Also find the length of the altitude from vertex A on the side DC.

A field in the form of a parallelogram has sides 60 m and 40 m and one of its diagonals is 80 m long. Find the area of the parallelogram.

The perimeter of a triangular field is 420 m and its sides are in the ratio 6 : 7 : 8. Find the area of the triangular field.

The sides of a quadrilateral ABCD are 6 cm, 8 cm, 12 cm and 14 cm (taken in order) respectively, and the angle between the first two sides is a right angle. Find its area.

A rhombus shaped sheet with perimeter 40 cm and one diagonal 12 cm, is painted on both sides at the rate of Rs 5 per m². Find the cost of painting.

How much paper of each shade is needed to make a kite given in the following figure, in which ABCD is a square with diagonal 44 cm.

The perimeter of a triangle is 50 cm. One side of a triangle is 4 cm longer than the smaller side and the third side is 6 cm less than twice the smaller side. Find the area of the triangle.

A field is in the shape of a trapezium having parallel sides 90 m and 30 m. These sides meet the third side at right angles. The length of the fourth side is 100 m. If it costs Rs 4 to plough 1 m² of the field, find the total cost of ploughing the field.

In the following figure, ∆ABC has sides AB = 7.5 cm, AC = 6.5 cm and BC = 7 cm. On base BC a parallelogram DBCE of same area as that of ∆ABC is constructed. Find the height DF of the parallelogram.

A design is made on a rectangular tile of dimensions 50 cm × 70 cm as shown in the following figure. The design shows 8 triangles, each of sides 26 cm, 17 cm and 25 cm. Find the total area of the design and the remaining area of the tile.

The following statement is true or false? Give reason for your answer.

There are an infinite number of lines which pass through two distinct points.