51. The adjoining figure contains three squares with areas of 100, 16 and 49 lying side by side as shown. By how much should the area of the middle square be reduced in order that the total length PQ of the resulting three squares is 19 ?
52. The three sides of a triangular field are 20 metres, 21 metres and 29 metres long respectively. The area of the field is :
53. The diagonal of a square is $$4\sqrt 2 $$ cm. The diagonal of another square whose area is double that of the first square, is :
54. What will be the area of 4 metres high wall on all four sides of a rectangular hall having perimeter 64 m ?
55. The altitude of an equilateral triangle of side $$2\sqrt 3 $$ cm is :
56. One of the diagonals of a rhombus is double the other diagonal. Its area is 25 sq. cm. The sum of the diagonal is ?
57. Cost of fencing a circular plot at the rate of Rs. 15 per metre is Rs. 3300. What will be the cost of flooring the plot at the rate of Rs. 100 per square metre ?
58. The ratio of the circumferences of two circles is 2 : 3. What is the ratio of their areas ?
59. A circular road runs around a circular garden. If the difference between the circumference of the outer circle and the inner circle is 44 m, the width of the road is :
60. The area of the greatest circle which can be inscribed in a square whose perimeter is 120 cm, is :
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