# SOLUTION: THE PERIMETER IS 1280, THE WIDTH IS 90 LESS THAN THE LENGTH, WHAT IS THE LENGTH AND WIDTH?

Algebra ->  Algebra  -> Quadratic Equations and Parabolas -> SOLUTION: THE PERIMETER IS 1280, THE WIDTH IS 90 LESS THAN THE LENGTH, WHAT IS THE LENGTH AND WIDTH?      Log On

 Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo . Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

Question 225944: THE PERIMETER IS 1280, THE WIDTH IS 90 LESS THAN THE LENGTH, WHAT IS THE LENGTH AND WIDTH?
You can put this solution on YOUR website!
THE PERIMETER IS 1280, THE WIDTH IS 90 LESS THAN THE LENGTH, WHAT IS THE LENGTH AND WIDTH?

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+90 be the length since the width is 90 less than the length

Step 4. Then, P=w+w+w+90+w+90=1280.

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=275. Graphical form: Equation was fully solved.Text form: w+w+w+90+w+90=1280 simplifies to 0=0Cartoon (animation) form: For tutors: `simplify_cartoon( w+w+w+90+w+90=1280 )` If you have a website, here's a link to this solution.

### DETAILED EXPLANATION

Look at .
It becomes .

Look at .
Moved to the right of expression
It becomes .

Look at .
Eliminated similar terms ,,, replacing them with
It becomes .

Look at .
It becomes .

Look at .
Remove unneeded parentheses around factor
It becomes .

Look at .
Moved these terms to the left
It becomes .

Look at .
It becomes .

Look at .
It becomes .

Look at .
Solved linear equation equivalent to 4*w-1100 =0
It becomes .
Result:
This is an equation! Solutions: w=275.

### Universal Simplifier and Solver

Done!

For w=275 , then w+90=365 and P=2(275+365)=1280 which is a true statement.

Step 6. ANSWER: The length is 365 and the width is 275

I hope the above steps were helpful.