Question

The area of square field is 1024 Sq. Units. Then find the length of side of the field

Answer 1

Solution :-

Area of the square shaped field = 1024 sq units

Length of each side of the square shaped field = ?

Let length of each side of the square shaped field = 'x' units

Area of square = Side × Side 

⇒ 1024 = x*x 

⇒ 1024 = x²

⇒ x = √1024
             ______ 
          2 | 1024
             |_____   
          2 |   512
             |_____
          2 |   256  
             |_____
          2 |   128
             |_____
          2 |     64
             |_____
          2 |     32
             |_____
          2 |     16 
             |_____
          2 |       8
             |_____
          2 |       4
             |_____
          2 |       2
             |_____
             |        1

√1024 = 2*2*2*2*2*2*2*2*2*2

√1024 = 32

Hence, length of each side of the square shaped field is 32 units.

Answer 2

Given:

Area of the square field = 1024 sq units


Let the length of each side of the square field = a units

Area of square = Side × Side

1024 = a × a

1024 =a²

a= √1024

a= √1024

Finding square root by Prime factorization method of 1024

a=√ (2×2)×(2×2)×(2×2)×(2×2)×(2×2)

a= 2×2×2×2×2

a= 32

Side of square field= 32 unit

Hence, the length of each side of the square field is 32 units.

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