Question 874880
Initial area of the picture frame is 32 cm^2, now we want to triple the frames area.  Therefore
(8+x)(4+x)=96
x^2 +12x +32=96
x^2 +12x -64 = 0
(x+16)(x-4)=0
x=4 is the additional quantity to add to the dimensions of the frame
New dimensions of the picture frame are 12 by 8