SOLUTION: a rectangular picture is 12 by 16 inches. if a frame of uniform width contains an area of 165 square inches, what is the width of the frame.
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Question 36897: a rectangular picture is 12 by 16 inches. if a frame of uniform width contains an area of 165 square inches, what is the width of the frame.
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
165=24X+32X+4X~2 24X IS 2*12*x WHERE X IS THE FRAME WIDTH & 32X IS 2*16*X
THE 4 COENERS HAVE AREA OF X~2 THUS THE 4X~2
165=56X+4X~2 or 4x~2+56x-165=0 OR (2X+33)(2X-5)=0 OR x=5/2 OR 2.5 INCH WIDE
FRAME
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