document.write( "Question 1159323: A picture frame holds an 8-inch by 10-inch photograph. The frame adds a border x inches wide around three sides of the photo. On the fourth side, the frame is wider to accommodate a decoration on the frame. The forth side is (3x-1) inches wide, as shown in the figure.
\n" ); document.write( "a) write a quadratic expression for the combined area of the frame in terms of x.
\n" ); document.write( "b)if the border on the three matching sides in 1 inch, what is the combined area of the frame?
\n" ); document.write( "c)if the combined area of the frame is 165 square inches, find x. \n" ); document.write( "

Algebra.Com's Answer #852221 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "A picture frame holds an 8-inch by 10-inch photograph. The frame adds a border x inches wide around three sides
\n" ); document.write( "of the photo. On the $\"highlight%28cross%28forth%29%29\"$ fourth side, the frame is wider to accommodate a decoration on the frame.
\n" ); document.write( "The $\"highlight%28cross%28forth%29%29\"$ fourth side is (3x-1) inches wide, as shown in the figure.
\n" ); document.write( "(a) write a quadratic expression for the combined area of the frame in terms of x.
\n" ); document.write( "(b) if the border on the three matching sides in 1 inch, what is the combined area of the frame?
\n" ); document.write( "(c) if the combined area of the frame is 165 square inches, find x.
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document.write( "(a)  The Figure is not shown, so the reference to the Figure is empty (carries zero information).\r\n" );
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document.write( "     @MowMow assumes that the fourth side of (3x-1) inches wide is the 8 inches long.\r\n" );
document.write( "     I will follow to this assumption in order to show that the \"solution\" by @MowMow is inadequate.\r\n" );
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document.write( "     Indeed, then the outer dimensions of the frame are (10+x+(3x-1)) = (9+4x) inches by (8+2x) inches,\r\n" );
document.write( "     which is DIFFERENT from (10+3x) and (8+2x) inches, used in the post by @MowMow.\r\n" );
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document.write( "     Then the quadratic expression for the combined area of the frame should be different from that \r\n" );
document.write( "     in the post by @MowMow.\r\n" );
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document.write( "     As the request (a) is presented in the post, it baffles me.\r\n" );
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document.write( "     If they request for the area of the large rectangle with the sides (9+4x) and (8+2x),\r\n" );
document.write( "     then the area is the product (9+4x)*(8+2x) square inches.\r\n" );
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document.write( "     If they want the area of the frame only, then this area is  (9+4x)*(8+2x) - 8*10 square inches.\r\n" );
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document.write( "     Actually, the request in (a) is written in such an uncertain way, that the precise meaning\r\n" );
document.write( "     is unclear.  It is not a way to write a Math problem.\r\n" );
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document.write( "(b)  When I read the request (b), it baffles me again.\r\n" );
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document.write( "     Indeed, it says that the border of the three matching sides is 1 inch, but says nothing about the fourth side.\r\n" );
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document.write( "     In any case, the answer by @MowMow is irrelevant.\r\n" );
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document.write( "(c)  The same uncertainty is with the request (c).\r\n" );
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document.write( "     From their formulation, it is unclear, if we are under condition (a) or under condition (b).\r\n" );
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document.write( "As a final resume, my opinion is that \r\n" );
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document.write( "    (a) this writer, who created the problem, is not able to generate a Math problem \r\n" );
document.write( "        by an non-ambiguous way, as it is required for Math problems.\r\n" );
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document.write( "    (b) this post is not an adequate Math problem and can not be considered as a correct Math problem.\r\n" );
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document.write( "    (c) For any interpretation, the solution and the answers by @MowMow are incorrect.\r\n" );
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document.write( "For a reader, my advice is to ignore this post as inaccurate and ambiguous \r\n" );
document.write( "and to ignore the \"solution\" by @MowMow as inadequate.\r\n" );
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\n" ); document.write( "\n" ); document.write( "I know that all solutions and all posts are included into databases for artificial intelligence.\r
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\n" ); document.write( "\n" ); document.write( "So I want to warn: DO NOT INCLUDE IT in the database for AI, in any form.\r
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\n" ); document.write( "\n" ); document.write( "Simply re-direct it into the garbage bin, where its right place should be.\r
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\n" ); document.write( "\n" ); document.write( "The author of this problem deserves a big minus and a serious warning
\n" ); document.write( "for unprofessionalism in writing Math problems.\r
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