In the given figure, a rectangle with perimeter ^@374 \space cm^@ is divided into five congruent rectangles. What is the perimeter of one of the rectangles?
In the given figure, the incircle of ^@ \triangle ABC ^@ touches the sides ^@ BC, CA, ^@ and ^@ AB ^@ at ^@ P, Q, ^@ and ^@ R ^@ respectively. The length
^@ (AR + BP + CQ) ^@ is equal to:
An equilateral triangle has side length 13 cm. What is the area of a region of all the points outside the equilateral triangle that are within 5 cm of the triangle?
filled a glass with water. The lower base radius and the upper base radius of the glass is ^@5 \space cm^@ and ^@9 \space cm^@ respectively. The height of the glass is ^@ 8 \space cm^@. At first, the glass is filled full with water and the water is poured into another container which is cylindrical in shape with the diameter and the height as ^@ 30 \space cm ^@ and ^@ 12 \space cm ^@ respectively. Again the glass is filled one-fifth with water and then this water is poured into the same cylindrical container. How much more water is to be put into the cylindrical container so as to fill the container up to the brim? (Where ^@\pi = 3.14^@)
draws ^@4^@ cards out of a deck of ^@52^@ cards. What is the probability that she draws ^@a \space 4, \space a \space 7, \space a \space Jack, \space and \space a \space 2^@?
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