Problema Solution

a picture 8 in. by 12 in. is placed in a frame which has a uniform width.if the area of the frame is equal to the area of the picture , find the width of the frame

Answer provided by our tutors

Let 'x' represent the width of the frame, x>0.


The area of the frame is: (8 + 2x)(12 + 2x) - 8*12


The are of the picture is: 8*12


The area of the frame is equal to the area of the picture:


(8 + 2x)(12 + 2x) - 8*12 = 8*12

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x = 2 in


The width of the frame is 2 inches.