Asquare picture has a one-inch frame. if the area of the frame alone is 48 square inches, what is the area of the picture? | area: inches squared

The area of the picture alone is 132 sq. in.let x be the side length of the square without the frame.  then the length of the side with the frame is x+2.  the area of the picture with the frame would be given by  (x+2)(x+2).the area of just the frame would be (x+2)(x+2)-x²: (x+2)(x+2)-x²=48x²+2x+2x+4-x²=484x+4=48subtract 4 from both sides: 4x = 44divide both sides by 4: 4x/4 = 44/4x = 11since the side length is 11, the area is 11(11) = 132 sq. in.

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