document.write( "Question 213908: the perimeter of this rectangle is 74cm with length x+2 and with 3x. a.form an equation for the perimeter of the rectangle. b.solve your equation to find the length and with of the rectangle \n" ); document.write( "

Algebra.Com's Answer #161569 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
The perimeter of this rectangle is 74 cm with length x+2 and width 3x. \r
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\n" ); document.write( "\n" ); document.write( "a. Form an equation for the perimeter of the rectangle. \r
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\n" ); document.write( "\n" ); document.write( "b. Solve your equation to find the length and width of the rectangle.\r
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\n" ); document.write( "\n" ); document.write( "Step 1. The perimeter of a rectangle P is when all the lengths of all 4 sides of a rectangle are added up. \r
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\n" ); document.write( "\n" ); document.write( "Step 2. So $\"P=74=x%2B2%2Bx%2B2%2B3x%2B3x=8x%2B4\"$ . ANSWER to (a) is P=74=8x+4.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Solving the equation for the perimeter yields the following steps:\r
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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\n" ); document.write( " YOUR ANSWER\n" ); document.write( "

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This is an equation! Solutions: x=8.75.
Graphical form: Equation $\"74=8x%2B4\"$ was fully solved.
Text form: 74=8x+4 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+74=8x%2B4+%29\"$
For tutors: simplify_cartoon( 74=8x+4 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"74=highlight_red%28+8%2Ax%2B4+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-8%2Ax+%29\"$ , $\"highlight_green%28+-4+%29\"$
It becomes $\"74-highlight_green%28+8%2Ax+%29-highlight_green%28+4+%29=0\"$ .
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Look at $\"highlight_red%28+74+%29-8%2Ax-highlight_red%28+4+%29=0\"$ .
Added fractions or integers together
It becomes $\"highlight_green%28+70+%29-8%2Ax=0\"$ .
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Look at $\"highlight_red%28+70+%29-8%2Ax=0\"$ .
Moved $\"70\"$ to the right of expression
It becomes $\"-8%2Ax%2Bhighlight_green%28+70+%29=0\"$ .
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Look at $\"highlight_red%28+-8%2Ax%2B70+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-8%2Ax%2B70=0+%29\"$ equivalent to -8*x+70 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=8.75.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "Step 4. ANSWER to b: With x= $\"8.75\"$ then length is l=8.75+2=10.75 cm and width is 3(8.75)=26.25 cm. Note perimeter is P=2(10.75+26.25)= 2*37=74 cm.\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \r
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\n" ); document.write( "\n" ); document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
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