SOLUTION: The ratio of width of a rectangle to its length is 3 to 1. If the perimeter of the rectangle is 40, what is the width of the rectangle? and What is the greatest number o

Algebra ->  Rectangles -> SOLUTION: The ratio of width of a rectangle to its length is 3 to 1. If the perimeter of the rectangle is 40, what is the width of the rectangle? and What is the greatest number o      Log On


   



Question 900828: The ratio of width of a rectangle to its length is 3 to 1. If the perimeter of the rectangle is 40, what is the width of the rectangle?

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What is the greatest number of pieces of rope, each 2/7 meter long, that can be cut from a piece of rope that is 8 meters long?

Answer by Jc0110(165) About Me  (Show Source):
You can put this solution on YOUR website!
1. width : length = 3 : 1
Let width = 3x, while length = x.
Perimeter = 3x + 3x + x + x
40 = 8x
x = 5 ... Substitute into width = 3x.
width = 3(5) = 15 units
2. Number of pieces of rope that can be cut = 8 ÷ 2%2F7 = 28
Therefore, 28, which is the greatest number of pieces of rope that can be cut from a piece of 8-meters-long rope.