document.write( "Question 422273: A rectangle has a perimeter (P) of 58 inches. The length (L) is one more than 3 times the width (W). write and solve a system of linear equations to find the length and width of the rectangle. \n" ); document.write( "

Algebra.Com's Answer #294745 by blwinbbbles(106) $\"\"$ $\"About$

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First write equations for what you know: A perimeter is the distance around the rectangle, there are 2 lengths and 2 widths, we know the perimeter is 58 inches..So...\r
\n" ); document.write( "\n" ); document.write( "2L + 2W = 58 this is equation 1\r
\n" ); document.write( "\n" ); document.write( "Next we know that the length is one more than 3 times the width..so..\r
\n" ); document.write( "\n" ); document.write( "L = 3W + 1 equation 2\r
\n" ); document.write( "\n" ); document.write( "Since we know that L = 3W + 1 we can substitute the L in equation 1\r
\n" ); document.write( "\n" ); document.write( "2(3W + 1) + 2W = 58 solve the problem
\n" ); document.write( "6W + 2 + 2W = 58 add the common terms
\n" ); document.write( "8W + 2 = 58 subtract 2 from both sides
\n" ); document.write( "8W = 56 divide by 8
\n" ); document.write( "W = 7\r
\n" ); document.write( "\n" ); document.write( "Now that you know W, go back and solve for L....use equation 2\r
\n" ); document.write( "\n" ); document.write( "L = 3(7) + 1
\n" ); document.write( "L + 21 + 1
\n" ); document.write( "L = 22\r
\n" ); document.write( "\n" ); document.write( "hope this helps \n" ); document.write( "

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