Construct a square whose area is 33.64.

Answer :

To construct square whose area  =  33.64 cm2

We know area of square  =  ( Side )2 , So

( Side )2 =  33.64

( Side )2 =  5.82

Side  = 5.8 cm

Now we follow these steps :

Step 1 : Draw a line AB  =  5.8 cm and extend the line AB to the right to " X "  .

Step 2 : Take center " B " and any radius ( More than half of AB ) . Draw an arc on each side of B, we get two points E and F.   

Step 3 : Take center " E " and any convenient width, draw an arc and with same radius and center " F " draw another arc  , That intersect the previous arc at " G " .

Step 4 : Draw a line from B through G , We get line BG .

Step 5 : Take center " A " and radius length as AB , Draw an arc above point A. With same radius and center " B " draw an arc that intersect our line BG at " C " .With same radius and center " C " draw an arc that intersect our previous arc at  " D ". 

Step 6 : Join the lines CD and AD     



We get ABCD is a square where each side has a length AB =  5.8 cm and area  =  33.64 cm2

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