document.write( "Question 162230: I need help on this problem please.
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document.write( " A house has two rooms of equal area. One room is squareand the other is a rectangle 4 ft narrower and 5 ft longerthan the square one. Find the area of each room.
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Algebra.Com's Answer #119555 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A house has two rooms of equal area. One room is square and the other is a rectangle 4 ft narrower and 5 ft longer than the square one. Find the area of each room. \n" ); document.write( "------------- \n" ); document.write( "Square room is x by x ft ; Area = x^2 ft \n" ); document.write( "------------------- \n" ); document.write( "Other room is (x-4) by (x+5) ft ; Area = (x-4)(x+5) = x^2+x-20 ft. \n" ); document.write( "--------------------- \n" ); document.write( "EQUATION \n" ); document.write( "Square area = Rectangular area \n" ); document.write( "x^2 = x^2+x-20 \n" ); document.write( "x-20= 0 \n" ); document.write( "x = 20 ft. \n" ); document.write( "-------------- \n" ); document.write( "Square room area = 20^2 = 400 sq. ft. \n" ); document.write( "Rectangular room area = (20-4)(20+5) = 16*25 = 400 sq. ft. \n" ); document.write( "======================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |