document.write( "Question 803076: A rectangular room is 1.7 times as long as it is wide, and its perimeter is 25 meters. Find the dimension of the room.
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Algebra.Com's Answer #484116 by homeworkhedgehog(9)![]() ![]() You can put this solution on YOUR website! We need to translate the first sentence into a mathy expression. We'll let L stand for length, and W width.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We know that the Perimeter is all the sides added up. So \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We can substitute L = 1.7W into our equation for Perimeter:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and combine 'like' terms\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now the question tells us that P = 25, so we can substitute THAT into the equation for Perimeter:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and solve for W by dividing both sides by 5.4:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We can find out what the length, L, is by multiplying W by 1.7\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We can check our work to see if all the sides add up to equal 25.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "= \n" ); document.write( "\n" ); document.write( "So it checks out. \n" ); document.write( " |