SOLUTION: The perimeter of a rectangle is 98m. The length is 10m more than twice the width. Find the dimensions? What is the length? What is the width?

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Question 215731: The perimeter of a rectangle is 98m. The length is 10m more than twice the width. Find the dimensions?
What is the length?
What is the width?
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter of a rectangle is 98m. The length is 10m more than twice the width. Find the dimensions?
What is the length?
What is the width?

Step 1. Let w be the width and 2w be twice the width

Step 2. Let 2w+10 be the length since it's 10m more than twice the width

Step 3. Perimeter P is when you add up all 4 sides or P=w%2Bw%2B2w%2B10%2B2w%2B10=6w%2B20=98. Now 6w=78 or w=13 m. Then the length is 2w+10=36 and P=13+13+36+36=98 m...which is a true statement.

Step 4. ANSWER. The width is 13 m and the length is 36 m.

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J