The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other. The ar
ea of the resulting rectangle is 126 in². What was the orriginal side length of the square?
       
      
                
     
    
    
    
    
    1 answer:
            
              
              
                
                
Answer 
Find out the original side length of the square .
To prove
Let us assume that the original length of the square be x.
Formula

As given
The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other.
Length becomes  = x + 8
Breadth becomes = x -3
The area of the resulting rectangle is 126 in²
Put in the formula
(x + 8) × (x - 3) = 126
x² -3x + 8x -24 = 126
x ²+ 5x = 126 +24
x² + 5x - 150 = 0
x² + 15x - 10x - 150 = 0
x (x + 15) -10 (x +15) =0
(x + 15)(x -10) =0
Thus
x = -15 , 10
As x = -15 (Neglected this value because the side of the square cannot be negative.)
Therefore x = 10 inches be the original side of the square.
 
 
                                
             
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