SOLUTION: the perimeter of a rectangle is 80 m. the length is 1 m more than twice the width. find the dimensions. what is the length? what is the width?

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Question 313116: the perimeter of a rectangle is 80 m. the length is 1 m more than twice the width. find the dimensions. what is the length? what is the width?
Found 2 solutions by ichudov, stanbon:
Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!
two sides are L and W.
perimeter is 2L+2W = 80.
L=1+2W
2(1+2W)+2W=80
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: W=13.
  • Graphical form: Equation was fully solved.
  • Text form: 2*(1+2W)+2W=80 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 2*(1+2W)+2W=80 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved 1 to the right of expression
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-80+%29
It becomes .
Look at .
Expanded term 2 by using associative property on %282%2AW%2B1%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Moved -78 to the right of expression
It becomes .
Look at .
Removed extra sign in front of -78
It becomes .
Look at .
Eliminated similar terms highlight_red%28+4%2AW+%29,highlight_red%28+2%2AW+%29 replacing them with highlight_green%28+%284%2B2%29%2AW+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+6%2AW-78=0+%29 equivalent to 6*W-78 =0
It becomes .
Result:
This is an equation! Solutions: W=13.

Universal Simplifier and Solver


Done!


W=13
L=1+2W=1+2*13=27
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
the perimeter of a rectangle is 80 m. the length is 1 m more than twice the width. find the dimensions. what is the length? what is the width?
---------------------
P = 2(L + W)
----
80 = 2((2W+1)+W)
40 = 3W+1
3W = 39
W = 13 m (width)
L = 2W+1 = 27 m (length)
=============================
Cheers,
Stan H.
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