# SOLUTION: A picture frame measures 28 cm by 32 cm and is of uniform width.What is the width of the frame if the area of the picture is 192 cm^2???

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 Question 247101: A picture frame measures 28 cm by 32 cm and is of uniform width.What is the width of the frame if the area of the picture is 192 cm^2??? Answer by checkley77(12569)   (Show Source): You can put this solution on YOUR website!(28-2x)(32-2x)=192 896-64x-56x+4x^2=192 4x^2-120x+896-192=0 4x^2-120x+704=0 4(x^2-30x+176)=0 4(x-22)(x-8)=0 x-8=0 x=8 ans. Proof: (28-2*8)(32-2*8)=192 (28-16)(32-16)=192 12*16=192 192=192