document.write( "Question 640428: 3) The length of a rectangle is 2 in. more than the width. If the length and width are each increased by 3 in., the perimeter of the new rectangle will be 4 in. less than 8 times the width of the original rectangle. Find the original dimensions of the rectangle.\r
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document.write( "Please help, I have no idea how to even start this! \n" );
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Algebra.Com's Answer #403247 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The length of a rectangle is 2 in. more than the width. \n" ); document.write( " If the length and width are each increased by 3 in., the perimeter of the \n" ); document.write( " new rectangle will be 4 in. less than 8 times the width of the original rectangle. \n" ); document.write( " Find the original dimensions of the rectangle. \n" ); document.write( ": \n" ); document.write( "Just write equation for what it says, step-by-step \n" ); document.write( ": \n" ); document.write( "\"The length of a rectangle is 2 in. more than the width.\" \n" ); document.write( "L = (W+2) \n" ); document.write( ": \n" ); document.write( "\"If the length and width are each increased by 3 in.\" \n" ); document.write( "(L+3) and (W+3) \n" ); document.write( "\"the perimeter of the new rectangle will be 4 in. less than 8 times the \n" ); document.write( " width of the original rectangle. \n" ); document.write( "2(L+3) + 2(W+3) = 8W - 4 \n" ); document.write( "2L + 6 + 2W + 6 = 8W - 4 \n" ); document.write( "2L + 12 = 8W - 2W - 4 \n" ); document.write( "2L = 6W - 4 - 12 \n" ); document.write( "2L = 6W - 16 \n" ); document.write( "simplify, divide by 2 \n" ); document.write( "L = 3W - 8 \n" ); document.write( "We know L = (W+2), therefore \n" ); document.write( "w + 2 = 3W - 8 \n" ); document.write( "2 + 8 = 3W - W \n" ); document.write( "10 = 2W \n" ); document.write( "W = 10/2 \n" ); document.write( "W = 5 in is the original width \n" ); document.write( "then \n" ); document.write( "5+2 = 7 in is the original length \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Confirm this by using these values in the statement \n" ); document.write( "\"the perimeter of the new rectangle will be 4 in. less than 8 times the width of the original rectangle.\" \n" ); document.write( " 2(7+3)) + 2(5+3) = 8(5) - 4 \n" ); document.write( "20 + 16 = 40 - 4 \n" ); document.write( " |