SOLUTION: find the dimensions of the rectangle meeting the specified conditions the perimeter is 320 cm and the width is 20 cm less than the length

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Question 223776: find the dimensions of the rectangle meeting the specified conditions
the perimeter is 320 cm and the width is 20 cm less than the length
Found 2 solutions by stanbon, drj:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find the dimensions of the rectangle meeting the specified conditions
the perimeter is 320 cm and the width is 20 cm less than the length
----------------------
Perimeter = 2(L + W)
320 = 2(L + (L-20))
160 = 2L-20
2L = 180
L = 90 cm (length)
W = L-20 = 70 cm (width)
=========================
Cheers,
Stan H.

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Find the dimensions of the rectangle meeting the specified conditions
the perimeter is 320 cm and the width is 20 cm less than the length

Step 1. Let L be the length

Step 2. Let L-20 be the width since it's 20 cm less than the length

Step 3. Perimeter P means adding up all 4 sides of the rectangle.

Step 4. Then, P=L+L+L-20+L-20=320 since perimeter is 320 cm.

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: L=90.
  • Graphical form: Equation L%2BL%2BL-20%2BL-20=320 was fully solved.
  • Text form: L+L+L-20+L-20=320 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+L%2BL%2BL-20%2BL-20=320+%29
    For tutors: simplify_cartoon( L+L+L-20+L-20=320 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at L%2BL%2BL-highlight_red%28+20+%29%2BL-highlight_red%28+20+%29=320.
Added fractions or integers together
It becomes L%2BL%2BL%2Bhighlight_green%28+-40+%29%2BL=320.
Look at L%2BL%2BL%2Bhighlight_red%28+-40+%29%2BL=320.
Moved -40 to the right of expression
It becomes L%2BL%2BL%2BL%2Bhighlight_green%28+-40+%29=320.
Look at L%2BL%2BL%2BL%2Bhighlight_red%28+-40+%29=320.
Removed extra sign in front of -40
It becomes L%2BL%2BL%2BL-highlight_green%28+40+%29=320.
Look at .
Eliminated similar terms highlight_red%28+L+%29,highlight_red%28+L+%29,highlight_red%28+L+%29,highlight_red%28+L+%29 replacing them with highlight_green%28+%281%2B1%2B1%2B1%29%2AL+%29
It becomes highlight_green%28+%281%2B1%2B1%2B1%29%2AL+%29-40=320.
Look at .
Added fractions or integers together
It becomes %28highlight_green%28+4+%29%29%2AL-40=320.
Look at highlight_red%28+%28highlight_red%28+4+%29%29%2AL+%29-40=320.
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes highlight_green%28+4+%29%2AL-40=320.
Look at 4%2AL-40=highlight_red%28+320+%29.
Moved these terms to the left highlight_green%28+-320+%29
It becomes 4%2AL-40-highlight_green%28+320+%29=0.
Look at 4%2AL-highlight_red%28+40+%29-highlight_red%28+320+%29=0.
Added fractions or integers together
It becomes 4%2AL%2Bhighlight_green%28+-360+%29=0.
Look at 4%2AL%2Bhighlight_red%28+-360+%29=0.
Removed extra sign in front of -360
It becomes 4%2AL-highlight_green%28+360+%29=0.
Look at highlight_red%28+4%2AL-360+%29=0.
Solved linear equation highlight_red%28+4%2AL-360=0+%29 equivalent to 4*L-360 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: L=90.

Universal Simplifier and Solver


Done!



With L=90 and L-20=70}}}. Also P=2%2890%2B70%29=320 which is a true statement.

Step 5. The dimensions are that the length is 90 cm and the width is 70 cm.

I hope the above steps were helpful.

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.

And good luck in your studies!

Respectfully,
Dr J

drjctu@gmail.com

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