Question 1079541
Let w be the area to be expanded to. Then:
(12+2w)(8+2w)=96*2=192
96+40w+4w²=192
w²+10w-24=0
(w+12)(w-2)=0
w=2 or -12
Using the positive value of 2 as the border, our new dimensions are 16cm.x 12cm. ☺☺☺☺