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CDS - 2 D Mensuratiion Test 958
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CDS - 2 D Mensuratiion Test 958
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  • Question 1/5
    1 / -0.33
    A piece of land is in the form of a parallelogram and the perimeter of the land is 86 m. The length of one side exceeds the other by 13 m and one of the diagonals is 41 m.

    What is the area of the parallelogram?

    Solutions

  • Question 2/5
    1 / -0.33
    What is the area of largest circle that can be cut from a rectangle whose area is 72 sq. unit and perimeter is 34 units?
    Solutions








    The diameter of circle cannot be more than 8 units.

    Area of the largest circle= 

  • Question 3/5
    1 / -0.33
    ABCD is a isosceles trapezium and AD||BC. P is the midpoint of BC such that DP||AB. If area of the triangle DPC is 60 unit, then the area of the trapezium ABCD is:
    Solutions

    Let  and height is , then area of the triangle


     isosceles trapezium ABCD 
     AD = BP = x and BC = x +x = 2x
     a
    height  = h
    area of isosceles trapezium ABCD
     = .5(x+2x)h
    = .5(3x)h
     = 1.5(xh)
     = 1.5 (120)
     = 180 unit

  • Question 4/5
    1 / -0.33
    A square shaped garden of perimeter 840 meters has two pathways 2-meter-wide crossing each other at  and going through the center of the garden. Rest of the area of garden is to be covered with grasses. What is the area being covered by grasses?
    Solutions

    Side of the garden

    Area of the pathways

    Required area

  • Question 5/5
    1 / -0.33
    A one meter long and 5 cm wide ribbon is bent at 60 cm from the one end by an angle of  and punched such that some portion of the ribbon is overlapped. What area was reduced due to bending?
    Solutions

    Total area of ribbon before bending

    Area of the ribbon after bending
    Area reduced

    Alternate: Area reduced = area of bent portion

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