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Find the length of the sides of the original square

If the sides of a square are increased by 3cm the area becomes 64cm
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2 Answers

(X+3)^2 = 64
>adding three the side, then squaring gives you area of square

x+3 = 8
>taking square root is easier here because 64 has a perfect square root

x=5
>Isolate the variable
-I am wondering though, if you mean the perameter as a whole is increased by 3, rather than just each side being increased by 3, as I've done here..
X - side of the original square:
 
 
 
( X+3 )^2 = 64 
 
 
X^2 + 6X + 9 = 64
 
X^2 + 6X - 55 = 0
 
(X +11) ( X -5 ) = 0
 
 X = -11   X =5/ answer
 
Test :
( 5+3 ) ^2 = 64
 
 
 
 

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