SOLUTION: The length of a rectangle is twice the width; the perimeter is 42 inches. Find the width?

Algebra.Com
Question 308338: The length of a rectangle is twice the width; the perimeter is 42 inches. Find the width?
Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!
Let's use "w" for width.
Then length is 2w.
The perimeter is two lengths, plus two widths:
perimeter = 42 = 2*2w+2*w
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: w=7.
  • Graphical form: Equation was fully solved.
  • Text form: 42=2*2w+2*w simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 42=2*2w+2*w )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Multiplied numerator integers
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 .
Moved these terms to the left highlight_green%28+-6%2Aw+%29
It becomes .
Look at .
Moved 42 to the right of expression
It becomes .
Look at .
Solved linear equation highlight_red%28+-6%2Aw%2B42=0+%29 equivalent to -6*w+42 =0
It becomes .
Result:
This is an equation! Solutions: w=7.

Universal Simplifier and Solver


Done!
RELATED QUESTIONS

The Length of a rectangle is twice the width; the perimeter is 42 inches. Find the... (answered by nadinadan)
the length of a rectangle is twice the width; the perimeter is 42 inches. find the... (answered by rfer)
The length of a rectangle is twice the width; the perimeter is 42 inches. Find the... (answered by mananth)
The perimeter of a rectangle is 42 inches. The length is 3 inches less than twice the... (answered by solver91311)
what is the length of a rectangle that is twice the width; with a perimeter that is 42... (answered by vleith)
the length of a rectangle is 3 inches more than twice the width. the perimeter of the... (answered by josgarithmetic)
The length of a rectangle is 5 inches more than the width. The perimeter is 42 inches.... (answered by josgarithmetic)
The length of a rectangle is 3 inches less than twice the width. If the perimeter of the... (answered by ewatrrr)
The length of a rectangle is 3 inches less than twice the width. If the perimeter of the... (answered by Nigelyul)