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Perimeter And A...

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  • Question 1
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    Find the circumference of the circle if the area of the square is 49 cm2. (Take = )

  • Question 2
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    A garden was built around a rectangular plot. Find the area of the garden.


  • Question 3
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    In the given figure, find the area of parallelogram EFHG, if the area of the shaded triangle is 9 cm2.


  • Question 4
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    Find the area of the shaded region in the given figure, where all of the short line segments are at right angles to each other and 1 cm long.


  • Question 5
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    Find the area of the given shape.

    .

  • Question 6
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    Four identical squares are placed one over the other. Each square is placed at the midpoint of the other square. Each side of the square is 6 cm. Find the perimeter of the given figure.


  • Question 7
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    The ratio of circumferences of two circles is 3 : 5. Find the ratio of their areas.


  • Question 8
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    The length of the sides of a triangle are 0.7 decametres, 240 decimetres and 25 metres. Find the area of the triangle.

  • Question 9
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    Raghu is making a model house. He cuts a cardboard in the shape of a rectangle. He also makes two equal sized triangles and places them on either side of the rectangle, as shown in the figure below. Find the total area covered by this piece of cardboard.


  • Question 10
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    In a circle of radius of 38 cm, two triangles are drawn, as shown in the figure, such that . Find out the area of the shaded region.


  • Question 11
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    In a rhombus EFGH, FH is joined and is equal to 24 m. Then, two perpendiculars are drawn from E and G to FH meeting at the same point such that both are 16 m in length. Find the area of the rhombus.

  • Question 12
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    If the radius of a circle becomes 3 times the original radius, then the circumference of the circle will become

  • Question 13
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    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 the garden.



  • Question 14
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    Find the area of the portion that is not shaded, if F and E are the respective midpoints of AB and CD; AC = 16 m and AB = 20 m.

  • Question 15
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    What is the area of the shaded portion in the figure if the area of the rectangle ABCD is 60 m2?



  • Question 16
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    A playground is 250 m long and 190 m wide. It has a platform in its centre of uniform length and width 10 m, as shown below. Find the cost of levelling the platform at Rs. 5 per square metre.




  • Question 17
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    The following diagram shows a square garden. There are four square and one circular flower bed. Find the area of the garden not covered by the flower beds.

  • Question 18
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    A sheep is tied by a rope to the fence outside a farm. If the length of the rope is 20 m, find the area of the land on which the sheep can move freely.

  • Question 19
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    From a square-shaped iron piece of side 40 cm, a triangle was cut. Find out the area of the remaining iron piece.


  • Question 20
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    A wall of length 20 m and width 30 m is to be painted. With 1 litre of paint, an area of 800 cm x 800 cm can be painted. Find out the cost of painting the whole wall, if the cost of 1 litre of paint is Rs. 200.

  • Question 21
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    A park is 225 m long and 175 m wide. It has a path of uniform width of 30 m along its sides. This path is to be covered by tiles.

    1. Find the area of the park not covered by tiles.
    2. Find the cost of constructing the path at Rs. 25 per m2.


  • Question 22
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    Find the area of the shaded portion in each of the given figures, respectively.







  • Question 23
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    State 'T' for true and 'F' for false.

    1. The length of fence required to cover the boundary of a square park of side 46 m is 178 m.
    2. Area of a circle : radius = : 1
    3. 34,500 m2 = 3.45 hectares
    4. If 1 km2 = x m2, the value of x is 1,00,00,000.

  • Question 24
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    Consider the following statements and choose the correct option accordingly.

    Statement-I: A park is 55 m long and 25 m wide. Along the length, there is a path of width 5 m on either side. However, along the width of the park, on one side there is a path of width 10 m, and on the other side, there is a path of width 15 m. Then, the area of path is 925 m2.
    Statement-II: If the area of a circular park is 2,29,11,400 cm2, then its radius is 27 m.

  • Question 25
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    Find the values of A, B and C.

    1. In a park of dimensions 25 m x 25 m, there is a circular pond of radius 10 m. The area not covered by the pond is [A].
    2. A square-shaped room measuring m is to be covered by square-shaped floor tiles of side 0.75 m each. The number of tiles required is [B].
    3. If the radius of a circle is 25 m, then the perimeter of the semicircle is [C].

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