document.write( "Question 143174This question is from textbook
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document.write( ": the area of a rectangular parcel of land is 720 sq. meters. the length of the land is 4 meters less than twice the width.
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document.write( "a. write an equation than can be used to find the dimensions of the land.
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document.write( "(i think i have this- 720=(2w-4)w)
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document.write( "b.solve the equation in part a. to find the dimensions of the land
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document.write( "Note: i already have the answer(l=36,w=20), i just don't know how to solve the equation) \n" );
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Algebra.Com's Answer #104156 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! Multiply out the parentheses. Since it's quadratic, you have to set it equal to zero:\r \n" ); document.write( "\n" ); document.write( "720=(2w-4)w \n" ); document.write( "720=2w^2 - 4w \n" ); document.write( "0=2w^2 -4w -720\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Factor completely, beginning with the common factor of 2: \n" ); document.write( "0=2(w^2 -2w-360)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Factor the trinomial: \n" ); document.write( "0=2(w+18)(w-20)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "w=-18 or w=20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Reject the negative answer since a width cannot be negative. \n" ); document.write( "So, w=20 meters \n" ); document.write( "2w-4=2(20)-4=40-4=36 meters\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: \n" ); document.write( "Area = W*L \n" ); document.write( "Area = 20*36=720 square meters\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2 \n" ); document.write( " |