SOLUTION: A square window is framed by two rectangular wooden shutters. Each shutter is as long as one side of the window and its width is 18 inches less than its length. If the area cover

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Question 31073: A square window is framed by two rectangular wooden shutters. Each shutter is as long as one side of the window and its width is 18 inches less than its length. If the area covered by one of the shutters is 594 square inches less than the area covered by the window, find the dimensions of one shutter.
Answer by checkley71(8403) About Me  (Show Source):
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LET X BE THE SIDE OF THE SQUARE WINDOW THEREFORE THE SHUTTER SIZE IS X(X-18) AND IS 594 SQ FEET LESS THAN THE WINDOW THUS
WINDOW MEASUREMENT IS (X~2) AND ONE SHUDDER IS X(X-18) AND IS 594 SQ INCHES LESS THAN THE WINDOE THEREFORE X~2=X(X-18)+594 OR X~2=X~2-18X+594 OR
CANCELLING OUT THE X~2 WE HAVE 18X=494 OR X=33
PROOF THE WINDOW IS 33*33=1089 AND THE SHUDDER IS 33(33-18)OR 33*15=495
OR WINDOW MINUS SHUDDER IS 1089-495=594