# SOLUTION: The length of a rectangle is 5 cm less than 3 times the width. If the perimeter of the rectangle is 46 cm find the dimensions of the rectangle.

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Question 214680: The length of a rectangle is 5 cm less than 3 times the width. If the perimeter of the rectangle is 46 cm find the dimensions of the rectangle.
Answer by drj(1380)   (Show Source):
You can put this solution on YOUR website!
The length of a rectangle is 5 cm less than 3 times the width. If the perimeter of the rectangle is 46 cm find the dimensions of the rectangle.

Step 1. Let w be the width and let 3w-5 be the length as given in the problem.

Step 2. The perimeter P of a rectangle means to add up all the sides. So

Step 3. The following will solve the equation in Step 2.

Solved by pluggable solver: EXPLAIN simplification of an expression

 Here's what you tried: This is an equation! Solutions: w=7. Graphical form: Equation was fully solved.Text form: w+w+3w-5+3w-5=46 simplifies to 0=0Cartoon (animation) form: For tutors: `simplify_cartoon( w+w+3w-5+3w-5=46 )` If you have a website, here's a link to this solution.

### DETAILED EXPLANATION

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Result:
This is an equation! Solutions: w=7.

### Universal Simplifier and Solver

Done!

With w=7 then the length is 3w-5=3*7-5=16. Note that these dimensions will result in a perimeter of 46 cm

Step 4. ANSWER: 7 cm is the width and 16 cm is the length of the rectangle

I hope the above steps were helpful.

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And good luck in your studies!

Respectfully,
Dr J