document.write( "Question 995151: A square hall is surrounded by a veranda of width 2.5m on its outside. If area of veranda is 175m2 , what is the area of the hall \n" ); document.write( "
Algebra.Com's Answer #614038 by ankor@dixie-net.com(22740)\"\" \"About 
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A square hall is surrounded by a veranda of width 2.5m on its outside.
\n" ); document.write( " If area of veranda is 175m2 , what is the area of the hall
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\n" ); document.write( "let x = the length of the square hall
\n" ); document.write( "then
\n" ); document.write( "x^2 = the area of the hall
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\n" ); document.write( "The 2.5 m veranda around the outside adds 5 m to both overall dimensions
\n" ); document.write( "(x+5) by (x+5) = the overall dimensions
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\n" ); document.write( "Overall area - hall area = 175 sq/m
\n" ); document.write( "(x+5)(x+5) - x^2 = 175
\n" ); document.write( "FOIL
\n" ); document.write( "x^2 + 10x + 25 - x^2 = 175
\n" ); document.write( "combine like terms
\n" ); document.write( "10x = 175 - 25
\n" ); document.write( "10x = 150
\n" ); document.write( "x = 150/10
\n" ); document.write( "x = 15 m length of the hall
\n" ); document.write( "there
\n" ); document.write( "15^2 = 225 sq/m area of the hall
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\n" ); document.write( "Check this by finding the areas
\n" ); document.write( "20^2 = 400
\n" ); document.write( "15^2 = 225
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\n" ); document.write( "diff: 175
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