21. Twenty-nine times the area of a square is one square metre less than six times the area of the second square and nine times its side exceeds the perimeter of other square by 1 metre. The difference in the sides of these squares is :
22. In ΔPQR, side PQ = 3 cm and side PR = 25 cm. What is the area of ΔPQR ?
23. In an isosceles triangle, the measure of each of the equal sides is 10 cm and the angle between them is 45° . The area of the triangle is :
24. A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m, then the altitude of the triangle is :
25. The circumference of a circle, whose area is 24.64 m2 , is :
26. The ratio of the radii of two circle is 3 : 2. What is the ratio of their circumferences ?
27. A circular grassy plot of land, 42 cm is diameter, has a path 3.5 m wide running around it outside. The cost of gravelling the path at Rs. 4 per square metre is :
28. A horse is tied at the corner of a rectangular field whose length is 20 m and width is 16 m, with a rope whose length is 14 m. Find the area which the horse can graze :
29. A triangle with sides 13 cm, 14 cm and 15 cm is inscribed in a circle. The radius of the circle is :
30. A skating champion moves along the circumference of a circle of radius 28 m in 44 sec. How many seconds will it take her to move along the perimeter of a hexagon of side 48 m ?
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