Question 1 :
If the area of two similar triangles ABC and PQR are 49 $\displaystyle cm^{2}$ and 36$\displaystyle cm^{2}$ respectively and altitude of the first triangle is 2.1 cm then altitude of the second triangle is<br>

Question 2 :
The distance between the two parallel chords of length 8 cm and 6 cm in a circle of diameter 10 cm if the chords lic on the same side of the centre is

Question 3 :
An equilateral triangle, a square and a circle have equal perimeters. If $T$ denotes the area of the triangle, $S$ is the area of the square and $C$ the area of the circle, then:

Question 4 :
Find the area of the parallelogram whose base is 16 cm and height 0.4 m ?

Question 5 :
In a trapezium whose parallel sides measure 12 cm and 10 cm and the distance between them is 8 cm. Find the area of trapezium---

Question 6 :
If C is the circumference of a circle of radius r then which of the following statement is true?

Question 7 :
The triangle formed by BC = AC = 8.2 cm and$\displaystyle \angle C=90^{\circ}$ is__

Question 8 :
If the radius of a circle is tripled, the ares becomes.

Question 9 :
The side of an equilateral triangle of area$ \displaystyle 64\sqrt{3}cm^{2} $ is

Question 10 :
A rectangle and a parallelogram have equal areas. If the sides of the rectangle are $10 m$ and $12 m$ and the base of the parallelogram is $20 m$, then the altitude of the parallelogram is:

Question 11 :
The length of a rectangle is $\left( \cfrac { 6 }{ 5 } \right) $th of its breadth. It its perimeter is $132m$, its area will be ______ .

Question 12 :
A square and an equilateral triangle triangle have equal perimeters. If the diagonal of the square is $12\sqrt{2}$ cm, then area of the triangle is

Question 13 :
Two sides of a triangle are $13 cm$ and $14 cm$ and its semi-perimeter is $18 cm$. Then, the third side of the triangle is:<br/>

Question 14 :
A rectangular field has a length $10$ feet more than it is width. If the area of the field is $264$, what is the width of the rectangular field?<br/>

Question 15 :
The length and breadth of a rectangle are in the ratio $3:2$. If the sides of the rectangle are extended on each side by $1 m$, the ratio of length to breadth becomes $10:7$. Find the area of the original rectangle in square meters.

Question 16 :
The perimeter of an isosceles triangle is $32cm$ and each of the equal sides is $5/6$ times of the base. What is the area (in ${cm}^{2}$) of the triangle?

Question 17 :
A plot of land is in the shape of a right angled isosceles triangle. The length of the hypotenuse is $50\sqrt{2}\ m$. The cost of fencing it at Rs. $3$ per mete will be

Question 19 :
The dimension of a rectangular court is such that if the length were increased by $2$ metres and the breadth diminished by the same, its area would be diminished by $12$ square metres, and if the length were increased by $2$ metres and its breadth increased by the same. Its area would be increased by $44$ square metres. Find the length.

Question 20 :
A circle of radius x has an area twice that of a square of side a. The equation used to find the radius ofthe circle is