Question 123260
THE BEST WAY TO SOLVE THESE TYPE OF PROBLEMS IS TO DRAW A SKETCH ( NOT NECESSARY TO SCALE), ASIGN VALUES FOR THE LENGTH & WIDTH, THEN ADD THE MAT AREA & ASSIGN THE WIDTH=X. YOU'LL GET 4*6=24 FOR THE ORIGINAL PHOTO & 
(4+2X)(6+2X)=2+24 OR TWICE THE ORIGINAL AREA.
DOES THIS HELP VISUALIZE THE PROBLEM AND PUT IT IN PERSPECTIVE???????
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2*4*6=(4+2X)(6+2X)
48=24+12X+8X+4X^2
4X^2+20X+24-48=0
4X^2+20X-24=0
4(X^2+5X-6)=0
4(X+6)(X-1)=0
X=1 ANSWER FOR THE WIDTH OF THE MAT.
PROOF
(4+2)(6+2)=48
6*8=48
48=48