document.write( "Question 903783: The length of a rectangle is 4 times the width. The perimeter is 90 meters. What is the length and the width? \n" ); document.write( "
Algebra.Com's Answer #548379 by tutoringisfun(17)\"\" \"About 
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Good evening student. I hope you find this solution helpful. \r
\n" ); document.write( "\n" ); document.write( "According, to the information given in the problem, we concur that L=4w. The formula for perimeter of a rectangle is P= 2L+2W. We can rewrite this as P=2(L+W). We need to solve for either L or W. Since I already know what L and P are I will plug that into the equation and solve for W, which gives me the following:
\n" ); document.write( "90=2(4w+w)now I use the distributive property and distribute the 2 to the equation inside the parenthesis like this: 90=2x4w+2w
\n" ); document.write( "when I simplify this it becomes 90=8w+2w
\n" ); document.write( "now I combine like terms to get the following:
\n" ); document.write( "90=10w
\n" ); document.write( "I want to get the W by itself, so I have to divide by 10, which gives me
\n" ); document.write( "9=w. I can rewrite it as w=9.
\n" ); document.write( " Now to find L I use the formula given in the problem L=4W,and substitute the 9 for the W. This gives me L=4(9). Solving this gives me L= 36.
\n" ); document.write( "L= 36
\n" ); document.write( "W=9
\n" ); document.write( "to check my answer, I can plug in both numbers into the formula for perimeter, that gives me 90=2(36+9). When I do the math I get 90=2(45). If I multiply this I get 90=90, which is a true statement so my answer is correct.\r
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