81. The diagonal of a rectangle is $$\sqrt {41} $$ cm and its area is 20 sq. cm. The perimeter of the rectangle must be :
82. The breadth of a rectangular field is $$\frac{3}{4}$$ of its length and its area is 300 sq. metres. What will be the area (in sq. metres) of the garden of breath 1.5 metres developed around the field ?
83. How many squares with side $$\frac{1}{2}$$ inch long are needed to cover a rectangle that is 4 feet long and 6 feet wide ?
84. If a square of area $$\frac{\text{A}}{2}$$ is cut off from a given square of area A, then the ratio of diagonal of the cut off square to that of the given square is :
85. The length of a room is double its breadth. The cost of colouring the ceiling at Rs. 25 per sq. meter is Rs. 5000 and the cost of painting the four walls at Rs. 240 per sq. metre is Rs. 64800. Find the height of the room :
86. The sides of a triangle are in ratio of $$\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$$ . If the perimeter is 52 cm, then the length of the smallest side is :
87. If x is the length of a median of an equilateral triangle, then its area is :
88. If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is :
89. Two small circular parks of diameters 16 m and 12 m are to be replaced by a Bigger circular park. What would be the radius of this new park. If the new park has to occupy the same space as the two small parks ?
90. If the wheel of the engine of a train $$4\frac{2}{7}$$ metres in circumference makes 7 revolutions in 4 seconds, then the speed (in km/hr) of the train is :
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