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?
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
Area of 
Area of 
Area of rectangle PQYZ = Length x Breadth = b x h
= 12 x 10 cm2 = 120 cm2
∴ Area of trapezium WXYZ = Area of ![<pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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+ Area of angle 
+ Area of rectangle PQYZ
= 30 cm2 + 20 cm2 + 120 cm2
= 170 cm2
Also, area of trapezium WXYZ = 
= 
(∵ a = c + b +d
= 6cm + 12cm + 4 cm
= 22 cm)
= 
Hence, the area of trapezium is verified.
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