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Q.5    An ant is moving around a few food pieces of different shapes scattered on the floor. For which food-piece would the ant have to take a longer round?

  Remember, circumference of a circle can be obtained by using the expression c = 2\pi r, where r is the radius of the circle.

                            

(a) circumference  (b)circumference (c) circumference Hence, the perimeter of (b) is highest so ant have to take a longer round in (b).

Q.3    The shape of a garden is rectangular in the middle and semi-circular at the ends as shown in the diagram. Find the area and the perimeter of this                     garden [Length of rectangle is 20 – (3.5 + 3.5) metres].

Length of rectangle is 20 – (3.5 + 3.5) metres=13 metres Breadth of rectangle = 7 metres diameter of circular side = 7metres Area of garden = area of rectangle + 2 times area of semi circular part Area of garden     Perimetre of garden    metres

Q4.     A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles are required to  cover a floor of area 1080 m^{2}? (If required you can split the tiles in whatever way you want to fill up the corners).

Area of parallelogram    a floor of area  =  =  Number of tiles =  =  tiles  
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