document.write( "Question 503956: can someone please help me?\r
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document.write( "the perimeter of a rectangle field is 110 feet. the length is 7 feet more than twice the width. what is length of the rectangle? \n" );
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Algebra.Com's Answer #339464 by nic0le116(25)![]() ![]() ![]() You can put this solution on YOUR website! What can we use to represent the value of the width at this time? \n" ); document.write( "Since we have no numerical value at this time, we'll use \"x.\" \n" ); document.write( "And what can we use for the length at this time? \n" ); document.write( "Well we know that the length is 7ft longer than 2 times the width. \n" ); document.write( "So we can represent this by 2x+7. \n" ); document.write( "---------------------------------- \n" ); document.write( "We know that perimeter is the sum of all the sides. \n" ); document.write( "In the case of the rectangle we can assume that perimeter equals 2 times the length+ 2 times the width. \n" ); document.write( "---------------------------------- \n" ); document.write( "So with this information, let's set up an equation to solve for x \n" ); document.write( "2x + 2(2x+7)=110 <--------- 2WIDTH+2LENGTH=PERIMETER \n" ); document.write( "-------------------------------------- \n" ); document.write( "Solve for x! \n" ); document.write( "2x+2(2x+7)=110 (Distribute the 2) \n" ); document.write( "2x+4x+14=110 (Combine like terms) \n" ); document.write( "6x+14=110 (Subtract 14 from each side) \n" ); document.write( "6x=96 (Divide each side by 6) \n" ); document.write( "x=16 <-------What does this x represent? The value of the width! \n" ); document.write( "--------------------------------------- \n" ); document.write( "Now remember to always check what specifically the word problem is asking of you. \n" ); document.write( "We want to know the value of the length, so we're not done yet. \n" ); document.write( "So now we need to plug in the value of x into what we originally represented length to equal which was (2x+7) \n" ); document.write( "------------------------------------ \n" ); document.write( "2(16)+7 \n" ); document.write( "32+7 \n" ); document.write( "39<------------------the value of the length! \n" ); document.write( "--------------------------------------- \n" ); document.write( "Not sure if this is right? Check by adding up all the side of the values of width and length and see if they equal the given perimeter value. \n" ); document.write( "39+39+16+16=110 CHECK!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ANSWER= \n" ); document.write( "LENGTH=39ft \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |