SOLUTION: The length of a rectangle is 5 less than twice its width. The perimeter is 26 meters. Find the dimensions of the rectangle.

Algebra ->  Rectangles -> SOLUTION: The length of a rectangle is 5 less than twice its width. The perimeter is 26 meters. Find the dimensions of the rectangle.      Log On


   

Question 1049367: The length of a rectangle is 5 less than twice its width. The perimeter is 26 meters. Find the dimensions of the rectangle.
Found 3 solutions by ikleyn, addingup, advanced_Learner:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
The length of a rectangle is 5 less than twice its width. The perimeter is 26 meters. Find the dimensions of the rectangle.
~~~~~~~~~~~~~~~~~~~~~~~~ 

Let W = width.
Then the length is 2W-5.

The perimeter equation is

W + (2W-5) + W + (2W-5) = 26,  or

6W - 10 = 26,  or

6W = 36.

From this point please complete the solution on your own.

I noticed that this problem is the third today of the same type of problems.

In the lesson
    - Solved problems on the perimeter and side lengths of a rectangle
there are many solved problems of this type.

They are good samples for you.
Read the lesson and become a trained person in solving such problems.

It would be much better for you to learn on how to solve such simple problems instead of posting them one after another.

You are always welcome in this site!


Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
2L+2W = 26 (1)
and
L = 2W-5 Substitute for L on (1)
2(2W-5)+2W = 26
4W-10+2W = 26
6W = 36
W = 6
>>>>>>>>>>>>>>
Check:
2(6)-5 = 7 this, according to the problem, is the length. Now:
2(7)+2(6) = 26
14+12 = 26 Correct
:
John

Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
Lenght is L=2w-5
Width is W
P=2W+2l
26=2W+2(2W-5)
26=6W -10
W=6
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: W=6.
  • Graphical form: Equation 6W=36 was fully solved.
  • Text form: 6W=36 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+6W=36+%29
    For tutors: simplify_cartoon( 6W=36 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 6%2AW=highlight_red%28+36+%29.
Moved these terms to the left highlight_green%28+-36+%29
It becomes 6%2AW-highlight_green%28+36+%29=0.
Look at highlight_red%28+6%2AW-36+%29=0.
Solved linear equation highlight_red%28+6%2AW-36=0+%29 equivalent to 6*W-36 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: W=6.

Universal Simplifier and Solver


Done!


L=12-5
L=7