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2015-09-02T23:48:20+08:00

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Area of rectagnle = (L) (W)
Area = (6cm) (4 cm)
Area = 24 cm² 

If area is to be doubled, with equal length added to  each dimension:

Let x = length added to each dimension
      6 + x = length
      4 + x = width
      2 (24) = area doubled

Equation:
      2 (24) = (6 + x) (4 + x)
      48 = 24 + 6x + 4x + x²
 
Rewrite to standard form:
     x² + 10x + 24-48 = 0
    x² + 10x - 24 = 0

Factor:
   (x - 2) (x + 12) = 0
   x - 2 = 0                       x + 12 = 0
   x = 2                            x = -12
   
Choose the positive root for distance, that is,  x=2 
                                       
Therefore, each dimension must be increased by 2 cms. to double the area from the original area given :-)



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