A flooring tile has the shape of a parallelogram whose base is 2

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 Multiple Choice QuestionsLong Answer Type

1. (a) Match the following figures with their respective areas in the box.

(b) Write the perimeter of each shape.

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2.

A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?

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3.

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.

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4.

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.]

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 Multiple Choice QuestionsShort Answer Type

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5.

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 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.)


Area of a parallelograms = Base x Corresponding height
                     Area of a tile =space space space space open parentheses 24 over 100 cross times 10 over 100 close parentheses straight m squared space equals space 240 over 10000 straight m squared space equals space 0.024 space straight m squared
∴         Area of the floor  = 1080 m2
         Now, number of tiles = fraction numerator Total space area over denominator Area space of space one space tiles end fraction

                                          = fraction numerator 1080 over denominator 0.024 end fraction
                                          = 45000 tiles

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 Multiple Choice QuestionsLong Answer Type

6.

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 straight c equals 2 πr comma where r is the radius of the circle.


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 Multiple Choice QuestionsShort Answer Type

7. Nazma’s sister also has a trapezium shaped plot. Divide it into three parts as shown. Show that the area of trapezium WXYZ = straight h fraction numerator left parenthesis straight a plus straight b right parenthesis over denominator 2 end fraction.

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8. If h = 10 cm, c = 6 cm, b = 12 cm, d = 4 cm, find the values of each of its parts separately and add to find the area WXYZ. Verify it by putting the values of h, a and b in the expression
fraction numerator straight h left parenthesis straight a plus straight b right parenthesis over denominator 2 end fraction.
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9. Find the area of the following trapezium:


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10. Find the area of the following trapezium:


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