document.write( "Question 382260: I need help with Linear Equation with two variables\r
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document.write( "A rectangular lot whose perimeter is 480 feet is fenced along three sides. An expensive fencing along the lotʹs
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document.write( "length costs $16 per foot , and an inexpensive fencing along the two side widths costs only $9 per foot. The total
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document.write( "cost of the fencing along the three sides comes to $4040. What are the lotʹs dimensions? \n" );
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Algebra.Com's Answer #270974 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A rectangular lot whose perimeter is 480 feet is fenced along three sides. An expensive fencing along the lotʹs length costs $16 per foot , and an inexpensive fencing along the two side widths costs only $9 per foot. The total \n" ); document.write( "cost of the fencing along the three sides comes to $4040. What are the lotʹs dimensions? \n" ); document.write( "--- \n" ); document.write( "Let i be the inexpensive and e the expensive. \n" ); document.write( "------- \n" ); document.write( "Measure Equation: e + 2i = 480 ft. \n" ); document.write( "Value Equation:: 16e + 9i = 4040 \n" ); document.write( "------------------------------------------- \n" ); document.write( "Multiply thru the Measure Eq. by 16 to get: \n" ); document.write( "16e + 32i = 16*480 \n" ); document.write( "----- \n" ); document.write( "Subtract the Value Eq. from that and solve for \"i\": \n" ); document.write( "23i = 3640 \n" ); document.write( "i = 158.26 ft (length of the inexpensive dimension) \n" ); document.write( "---- \n" ); document.write( "Substitute into e + 2i = 480 to solve for \"e\": \n" ); document.write( "e + 2*158.26 = 480 \n" ); document.write( "e = 163.48 ft (length of the expensive dimension) \n" ); document.write( "=================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "========\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |