document.write( "Question 1084126: A square concrete patio in located the center of the a rectangular yard. The yard is (x + 10) long and (x +8) wide. The concrete patio is (x + 4) long and (x + 4) wide. The area of just the grass is 264 ft^2 \n" ); document.write( "
Algebra.Com's Answer #698187 by Theo(13342)\"\" \"About 
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the area of the rectangular grassy yard is equal to (x+10) * (x+8).\r
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\n" ); document.write( "\n" ); document.write( "the area of the concrete patio is (x+4)^2.\r
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\n" ); document.write( "\n" ); document.write( "the area of just the grassy part of the yard is 264 square feet.\r
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\n" ); document.write( "\n" ); document.write( "if you take the area of the grassy yard and subtract the area of the concrete patio, you will have the area of just the grassy part of the grassy yard.\r
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\n" ); document.write( "\n" ); document.write( "what you get is (x+10) * (x+8) - (x+4)^2\r
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\n" ); document.write( "\n" ); document.write( "simplify this to get:\r
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\n" ); document.write( "\n" ); document.write( "x^2 + 8x + 10x + 80 - (x^2 + 8x + 16)\r
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\n" ); document.write( "\n" ); document.write( "simplify this a little further to get:\r
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\n" ); document.write( "\n" ); document.write( "x^2 + 8x + 10x + 80 - x^2 - 8x - 16\r
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\n" ); document.write( "\n" ); document.write( "combine like terms to get:\r
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\n" ); document.write( "\n" ); document.write( "10x + 64\r
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\n" ); document.write( "\n" ); document.write( "this is the area of the grassy part of the grassy yard that is equal to 264 square feet.\r
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\n" ); document.write( "\n" ); document.write( "you get:\r
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\n" ); document.write( "\n" ); document.write( "10x + 64 = 264\r
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\n" ); document.write( "\n" ); document.write( "subtract 64 from both sides of this equation to get:\r
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\n" ); document.write( "\n" ); document.write( "10x = 200\r
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\n" ); document.write( "\n" ); document.write( "solve for x to get x = 20\r
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\n" ); document.write( "\n" ); document.write( "the area of the grassy yard is (x+10) * (x+8)\r
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\n" ); document.write( "\n" ); document.write( "when x = 20, this becomes 30 * 28 = 840 square feet\r
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\n" ); document.write( "\n" ); document.write( "the area of the concrete patio is (x+4)^2.\r
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\n" ); document.write( "\n" ); document.write( "when x = 20, this becomes 24^2 = 576 square feet.\r
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\n" ); document.write( "\n" ); document.write( "subtract the area of the concrete patio from the area of the grassy yard and you get 840 - 576 = 264 square yards.\r
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\n" ); document.write( "\n" ); document.write( "solution looks good.\r
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\n" ); document.write( "\n" ); document.write( "x = 20.\r
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