document.write( "Question 946895: A window panel for a sun porch consists of a 7-ft high rectangular window stacked above a square window. The windows have the same width. If the total area of the window panel is 18-ft^2, find the dimensions of each window. \n" ); document.write( "
Algebra.Com's Answer #577741 by ankor@dixie-net.com(22740)\"\" \"About 
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A window panel for a sun porch consists of a 7-ft high rectangular window stacked above a square window.
\n" ); document.write( " The windows have the same width.
\n" ); document.write( " If the total area of the window panel is 18-ft^2, find the dimensions of each window.
\n" ); document.write( ":
\n" ); document.write( "let x = the side of the square window (also the width of the window panel)
\n" ); document.write( "let h = the height of the rectangular window
\n" ); document.write( "then we know
\n" ); document.write( "x + h = 7 ft
\n" ); document.write( "and
\n" ); document.write( "x * 7 = 18 sq/ft
\n" ); document.write( "x = \"18%2F7\" decimal equiv: 2.57 ft the panel width and sides of the square
\n" ); document.write( ":
\n" ); document.write( "replace x with 2.57 in the 1st equation
\n" ); document.write( "2.57 + h = 7
\n" ); document.write( "h = 7 - 2.57
\n" ); document.write( "h = 4.43 ft is the height of the rectangular window
\n" ); document.write( ":
\n" ); document.write( "\"find the dimensions of each window.
\n" ); document.write( "square: 2.57 by 2.57
\n" ); document.write( "rectangle: 4.43 by 2.57
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that checks out, find the area of both window
\n" ); document.write( "2.57^2 = 6.6 sq/ft
\n" ); document.write( "4.43*2.57 = 11.4 sq/ft
\n" ); document.write( "--------------------
\n" ); document.write( "total area: 18 sq/ft
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