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The area of a square is 100sq cm. Find the length of its diagonal.

  1. A
    10
    2


    cm
  2. B
    10cm
  3. C
    20cm
  4. D
    20
    2


    cm

Solution & Step-by-step Explanation

Let the side of the square be a.
The area of the square is given as:

Area=a
2
=100⟹a=10cm
The length of the diagonal (d) of a square is given by the formula:

d=a
2



Substituting the side value a=10cm:

d=10
2


cm

Practice this question

Try it yourself before checking the explanation above.

The area of a square is 100sq cm. Find the length of its diagonal.
A
10
2


cm
B
10cm
C
20cm
D
20
2


cm

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