Long Answer Type
A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?
(a) Side of the square = 60 m
∴     Its perimeter = 4 x side
                = 4 x 60 m
                = 240 m
       Area of the square = Side x Side
                      = 60 m x 60 m
                       = 3600 m2
(b) ∵  Perimeter of the rectangle = Perimeter of the given square
   ∴  Perimeter of the rectangle = 240 m
   or   2 x [Length + Breadth] = 240 m
   or   2 x [80 m + Breadth] = 240 m
    or        80 m + Breadth = 
    ∴             Breadth  = (120 - 80) m = 40 m
    Now,        Area of the rectangle  = Length x Breadth
                                 = 80 m x 40 m
                                 = 3200 m2
     Since,  3600 m2 > 3200 m2
      ∴  Area of the square field (a) is greater.
Mrs. Kaushik has a square plot with the measurement as shown in the figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of Rs 55 per m2.
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) meters.]
Short Answer TypeA flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles area required to cover a floor of area 1080 m2?
(If required you can split the tiles in whatever way want to fill up the corners.)
Long Answer TypeAn 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 
 where r is the radius of the circle.
Short Answer Type
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