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Question 1
If the measures of a diagonal and the area of a rectangle are 25 cm and 168 cm2 respectively, what is the length of the rectangle?
Question 2
The cost of ploughing a triangular field at Rs. 55 per 100 m2 is Rs. 1375. Find the height of the triangle if base of triangle is 25% more than the height.
Question 3
What is the radius of the incircle of the triangle whose sides measure 5, 12 and 13 units?
Question 4
If perimeter of equilateral triangle and regular hexagon are equal then find the ratio of their area?
Question 5
A semicircle is mounted on the length of a rectangle. The breadth of that rectangle is equal to 1/3rd the radius of the semicircle and is 4 cm. Express the area of semi-circle as a percentage (approximate) of the area of the rectangle.
Question 6
If sides of a rectangle are in the ratio 3:4 and a circle is circumscribed to the rectangle, then find the ratio of area of circle and rectangle?
Question 7
A steel wire of length 44 m is bent into form of a square and a circle. Find the difference between area of square and circle
Question 8
If the perimeter of a square is equal to perimeter of an equilateral triangle. Find the ratio of area of the square to the area of triangle?
Question 9
Find the area of a triangle formed by the sides equal to the length of the diagonals of squares of side 3, 4 and 8 cm respectively?
Question 10
If the side of a regular hexagon is increased by 20% then its perimeter is increased by 12 cm. What is the percentage change in the area of the hexagon?
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Sep 3SSC & Railway