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Perimeter and Area Test - 5

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Perimeter and Area Test - 5
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Weekly Quiz Competition
  • Question 1
    1 / -0

    One side of a parallelogram is 2.4 dam and its area is 576 m2. Find the corresponding altitude.

    Solution

    2.4 dam =2.4×10=24m (Since 10 m = 1 dam.) We have, area =576 m2 ⇒ 24× altitude = 576 ∴altitude  =576/24=24m

     

  • Question 2
    1 / -0

    Two sides of a right triangle containing the right angle are 100 cm and 8.6 cm. Find its area.

    Solution

     

    area = 1/2 x b x h
    1/2 × 100 × 8.6
    = 430 cm2

     

  • Question 3
    1 / -0

    If the length of the diagonal of a square is 12√2cm, what is its perimeter?

    Solution

    Given length of the diagonal of a square =12√2cm If 'a' is the side of the square, then the length of diagonal is √2a. ∴  √2a=√122 ⇒ a=12 ∴   Perimeter =4a=4×12=48 cm

     

  • Question 4
    1 / -0

    If the radius of a circle is increased by 1 unit, what is the ratio of circumference and the diameter of circle so formed?

  • Question 5
    1 / -0

    The perimeter of rectangular piece of paper is 56 cm. If the length is three times its width, what is its width?

    Solution

    Perimeter = 56 cm Given length is three times its width. Let the width be x cm. Then length =3x cm ∴  Perimeter =2(x+3x)=8xcm ⇒   8x=56⇒x=7 ∴   Width =7 cm

     

  • Question 6
    1 / -0

    In a parallelogram ABCD, diagonal AC measures 34 m and the perpendicular distance of AC from either of the vertices B and D is 12 m. Area of parallelogram is

    Solution

    Area of parallelogram ABCD = Area of ΔADC+ Area of ΔABC

    =12×34×12+12×34×12 =204+204=408 m2

     

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