Self Studies

Perimeter & Are...

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  • Question 1
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    Some tiles are laid in the centre of a rectangular garden that is 9 m by 6 m, leaving a border of 1.5 m around them. What is the perimeter of rectangle in which the tiles are laid?

  • Question 2
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    What is the area of the given figure (in sq.units)?

  • Question 3
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    The figure is made up of 8 identical rectangles. Find the total area of the shaded figure (in m2).

  • Question 4
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    In the given figure, PQ = 8 m, PR = 1 m, RS = 3 m, UV = 2 m and QX = 15 m. Find the perimeter of the given figure (in m).

  • Question 5
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    ABDC is a square and AB = 2AE. What is the perimeter of the square?

  • Question 6
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    What is the area of the shaded figure?
    (Each square is of dimensions 1 m × 1 m)

  • Question 7
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    Perimeter of any irregular shape can be determined by

    A. adding the lengths of the sides of the shape
    B. multiplying the lengths of the sides of the shape
    C. dividing the figure into different types of shapes
    D. Both A and C

  • Question 8
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    The perimeter of a rectangular garden is 180 m. It is 40 m wide. How long is it?

  • Question 9
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    Find the total shaded area of the figure made up of identical squares, if dimensions of 1 square are 2 m × 2 m.

  • Question 10
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    Find the perimeter of the given figure.

  • Question 11
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    Find the perimeter of the shape. (All the dimensions in the figure are in cm)

  • Question 12
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    Find the total area of the shaded parts of the rectangle BADC.

  • Question 13
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    The given figure is made up of two rectangles. Find the total area.

  • Question 14
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    Find the area of the shaded figure.
    (Area of 1 square = 3 cm × 3 cm)

  • Question 15
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    Which of the following shapes in the grid has the smallest area?

    (Area of 1 square = 4 sq.units)

  • Question 16
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    From a rectangle, a part is cut out of the given dimensions. Find the area of the shaded figure.

  • Question 17
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    In the given figure, ABCD is a square and PQSR is a rectangle. Find the remaining area, if PQSR is removed from the figure.


  • Question 18
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    The given figure is made up of 14 similar squares and 2 triangles. Hypotenuse of triangles is 4 cm. The perimeter of each square is 16 cm. What is the perimeter of the figure?

  • Question 19
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    Find the area of the shaded part in the figure.

  • Question 20
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    The shaded part in the given figure is covered with grass in a house. If the cost is Rs. 80 to put grass on 2 m2, then find the total cost of putting grass.

  • Question 21
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    Mr. Sharma is going to make a car parking along the side of his house and decides to put tiles in the rest of the area. How much area will be left for the tiles?

  • Question 22
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    Area of the floor of a rectangular classroom is 160 sq.m. What is its perimeter, if its length is 20 m?

  • Question 23
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    Four poles are stuck into a square ground of side 40 m at the four corners. A rope is to be put around the poles. What length of rope will be required if 2 m is required for tying the each knot?

  • Question 24
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    The cost of painting a rectangular wall is Rs. 11 per square metre and total cost to paint the complete rectangular wall is Rs. 1,177. If the length of wall is 15 m, then its breadth is

  • Question 25
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    The design of a toy building is rectangular. A boy marked the figure to help him out with the perimeter of the figure. What is the perimeter of the rectangular building?

  • Question 26
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    A big square is made up of 121 small squares. After removing some small squares from the big square, the following figure is obtained. The length of a small square is 4 cm. Find the total area of all the squares removed (in cm2).

  • Question 27
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    Two corners of a paper are folded as shown in figure. Find the area when it is unfolded.

  • Question 28
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    The figure is made up of 16 squares of the same size. The area of the figure is 144 cm2. Find the perimeter of the figure.

  • Question 29
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    Which of the following figures has an area of 35 sq.m and a perimeter of 24 m?

  • Question 30
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    The given figure shows the top of a building that has a swimming pool in centre with an area of 144 m2. Find the area of the building not occupied by the swimming pool.

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