SOLUTION: A rectangle is 6 times as long as it is wide. The perimeter is 100 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A rectangle is 6 times as long as it is wide. The perimeter is 100 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary.      Log On


   

Question 215445: A rectangle is 6 times as long as it is wide. The perimeter is 100 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary.
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
A rectangle is 6 times as long as it is wide. The perimeter is 100 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary.

Step 1. Let w be the width and 6w is the length.

Step 2. Perimeter P means adding up all the 4 sides of the rectangle. Then,

P=100=w%2Bw%2B6w%2B6w=14w

100%2F14=14w%2F14

w=100%2F14=7.1

With w=7.14, then 6w=42.9

Step 3. The dimensions of the rectangle are 7.1 cm and 42.9 cm.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J