# SOLUTION: the length of a rectangle is three centimeters greater than the width. If the perimeter equals 54 centimeters.

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Question 224571: the length of a rectangle is three centimeters greater than the width. If the perimeter equals 54 centimeters.
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The length of a rectangle is three centimeters greater than the width. If the perimeter equals 54 centimeters.

Step 1. The perimeter P means adding up all the four sides of a rectangle.

Step 2. Let w be the width.

Step 3. Let w+3 be the length

Step 4. Then, P=w+w+w+3+w+3=54.

Step 5. Solving yields the following steps

Solved by pluggable solver: EXPLAIN simplification of an expression

 Here's what you tried: This is an equation! Solutions: w=12. Graphical form: Equation was fully solved.Text form: w+w+w+3+w+3=54 simplifies to 0=0Cartoon (animation) form: For tutors: `simplify_cartoon( w+w+w+3+w+3=54 )` If you have a website, here's a link to this solution.

### DETAILED EXPLANATION

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Solved linear equation equivalent to 4*w-48 =0
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Result:
This is an equation! Solutions: w=12.

### Universal Simplifier and Solver

Done!

For w=12 , then w+3=15 and P=2(12+15)=54 which is a true statement.

Step 6. ANSWER: The width is 12 cm and the length is 15 cm.

I hope the above steps were helpful.