document.write( "Question 1151651: A lawn is in the shape of a right angled triangle.The length of two shorter sides are (x+2)m ,while the length of hypotenuse is 5x m.Form and solve an equation in x and hence find the area of the lawn in m^2. \n" ); document.write( "
Algebra.Com's Answer #773469 by MathLover1(20850)\"\" \"About 
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A lawn is in the shape of a right angled triangle.\r
\n" ); document.write( "\n" ); document.write( "The length of two shorter sides are \"%28x%2B2%29m\" ,while the length of hypotenuse is \"%285x%29m+\".\r
\n" ); document.write( "\n" ); document.write( "Form and solve an equation in \"x\" and hence find the area of the lawn in \"m%5E2\".\r
\n" ); document.write( "\n" ); document.write( "the area of triangle is:\r
\n" ); document.write( "\n" ); document.write( "use Pythagorean theorem to calculate \"x\":\r
\n" ); document.write( "\n" ); document.write( "\"%285x%29%5E2=%28x%2B2%29%5E2%2B%28x%2B2%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"25x%5E2=x%5E2+%2B+4x+%2B+4%2Bx%5E2+%2B+4x+%2B+4\"\r
\n" ); document.write( "\n" ); document.write( "\"25x%5E2=2x%5E2+%2B+8x+%2B+8\"\r
\n" ); document.write( "\n" ); document.write( "\"25x%5E2-2x%5E2+-+8x+-8=0\"\r
\n" ); document.write( "\n" ); document.write( "\"23x%5E2+-+8x+-8=0\".......use quadratic formula\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-%28-8%29+%2B-+sqrt%28%28-8%29%5E2-4%2A23%2A%28-8%29+%29%29%2F%282%2A23%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%288+%2B-+sqrt%2864%2B736+%29%29%2F46+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%288+%2B-+sqrt%28800+%29%29%2F46+\"\r
\n" ); document.write( "\n" ); document.write( " \"x+=+%288+%2B-+20sqrt%282%29%29%2F46+\".........simplify\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%284+%2B-10sqrt%282%29%29%2F23+\"\r
\n" ); document.write( "\n" ); document.write( "solutions:\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+4%2F23+-+%2810+sqrt%282%29%29%2F23=-0.44\"-> disregard negative solution
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\n" ); document.write( "\"x+=+4%2F23+%2B+%2810+sqrt%282%29%29%2F23=0.79\"\r
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\n" ); document.write( "\n" ); document.write( "sides are \"%280.79%2B2%29\"m= \"%282.79%29\"m=>height=base\r
\n" ); document.write( "\n" ); document.write( "hypotenuse is \"5%2A0.79+%7D%7Dm=%7B%7B%7B3.95+\"m \r
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\n" ); document.write( "\n" ); document.write( "\"A=%281%2F2%29base%2Aheight\"\r
\n" ); document.write( "\n" ); document.write( "\"A=%281%2F2%29%282.79m%29%2A%282.79m%29\"\r
\n" ); document.write( "\n" ); document.write( "\"A=%281%2F2%29%287.78m%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"A=3.89m%5E2%29\"\r
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