SOLUTION: the length of a rectangle is 5cm more than the width. the perimeter is 38cm. find the length and the width.

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Question 222920: the length of a rectangle is 5cm more than the width. the perimeter is 38cm. find the length and the width.
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
The length of a rectangle is 5 cm more than the width. The perimeter is 38 cm. Find the length and the width.

Step 1. Perimeter P means adding up all the lengths of the sides of a rectangle.

Step 2. Let w be the width.

Step 3. Let w+5 be the length.

Step 4. Then P=w+w+w+5+w+5=38 cm.

Step 5. Solving the equation in Step 4 leads to the following steps:

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


YOUR ANSWER


  • This is an equation! Solutions: w=7.
  • Graphical form: Equation w%2Bw%2Bw%2B5%2Bw%2B5=38 was fully solved.
  • Text form: w+w+w+5+w+5=38 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+w%2Bw%2Bw%2B5%2Bw%2B5=38+%29
    For tutors: simplify_cartoon( w+w+w+5+w+5=38 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at w%2Bw%2Bw%2Bhighlight_red%28+5+%29%2Bw%2Bhighlight_red%28+5+%29=38.
Added fractions or integers together
It becomes w%2Bw%2Bw%2Bhighlight_green%28+10+%29%2Bw=38.
Look at w%2Bw%2Bw%2Bhighlight_red%28+10+%29%2Bw=38.
Moved 10 to the right of expression
It becomes w%2Bw%2Bw%2Bw%2Bhighlight_green%28+10+%29=38.
Look at .
Eliminated similar terms highlight_red%28+w+%29,highlight_red%28+w+%29,highlight_red%28+w+%29,highlight_red%28+w+%29 replacing them with highlight_green%28+%281%2B1%2B1%2B1%29%2Aw+%29
It becomes highlight_green%28+%281%2B1%2B1%2B1%29%2Aw+%29%2B10=38.
Look at .
Added fractions or integers together
It becomes %28highlight_green%28+4+%29%29%2Aw%2B10=38.
Look at highlight_red%28+%28highlight_red%28+4+%29%29%2Aw+%29%2B10=38.
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes highlight_green%28+4+%29%2Aw%2B10=38.
Look at 4%2Aw%2B10=highlight_red%28+38+%29.
Moved these terms to the left highlight_green%28+-38+%29
It becomes 4%2Aw%2B10-highlight_green%28+38+%29=0.
Look at 4%2Aw%2Bhighlight_red%28+10+%29-highlight_red%28+38+%29=0.
Added fractions or integers together
It becomes 4%2Aw%2Bhighlight_green%28+-28+%29=0.
Look at 4%2Aw%2Bhighlight_red%28+-28+%29=0.
Removed extra sign in front of -28
It becomes 4%2Aw-highlight_green%28+28+%29=0.
Look at highlight_red%28+4%2Aw-28+%29=0.
Solved linear equation highlight_red%28+4%2Aw-28=0+%29 equivalent to 4*w-28 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: w=7.

Universal Simplifier and Solver


Done!



With w=7, then w+5=12 and P=2(7+12)=38... which is a true statement.

Step 6. ANSWER: Width is 7 cm and length is 12 cm.

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J