Question 150767
Area = LW
Original Area = 12*8 = 96

requirement: double the area by increasing the lenght and width by the same amount

New Area = 2*96 = 192
New Length = L + x = 12+x
New Width  = W + x =  8 + x

{{{192 = (12+x)(8+x)}}}
{{{192 = 96 + 20x + x^2}}}
{{{0 = x^2 + 20x -96}}}
{{{0 = (x + 24)(x - 4)}}}
x = 4

Does 16* 12 = 192?