SOLUTION: the length of a rectangle is four times the width. the perimeter is 200ft. find the length and width.

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Question 247553: the length of a rectangle is four times the width. the perimeter is 200ft. find the length and width.
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter of a rectangle is the sum of all of its sides.
Since a rectangle has four sides, the standard equation is:
P=2L%2B2W

However, our problem tells us the length is 4 times the width, so let:
x = width
4x = lenght

Therefore, our equation becomes: P=2%284x%29%2B2%28x%29

200=8x%2B2x
200=10x
x=20

Each width measures 20 feet, each lenght measures 20 feet x 4 = 80 feet.

Check: 20%2B20%2B80%2B80=200