SOLUTION: The length of a rectangle is 3cm longer than the width. The perimeter of the rectangle is 22cm. What is the length?

Question 229272: The length of a rectangle is 3cm longer than the width. The perimeter of the rectangle is 22cm. What is the length?
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
The length of a rectangle is 3cm longer than the width. The perimeter of the rectangle is 22cm. What is the length?

Step 1. Perimeter P means adding up all 4 sides of a rectangle.

Step 2. Let w be the width.

Step 3. Let w+2 be the length since it is 3 cm longer than the width

Step 4. Then, P=w+w+w+3+w+3=22 since the perimeter is 24 inches

Step 5. Solving P=w+w+w+3+w+3=22 yields the following steps

Subtract 6 from both sides of the equation

Divide by 4 to both sides of the equation

and . Check Perimeter which is a true statement.

Step 5. ANSWER: The width is 4 cm and the length is 7 cm.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

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