A rectangle's length and width are in a ratio of 5:1. The perimeter is 24 feet. What are the length and width?length = feetwidth = feetSubmit
Question
A rectangle's length and width are in a ratio of 5:1. The perimeter is 24 feet. What are the length and width?
- Length = ___ feet
- Width = ___ feet
Submit
Solution
Let's denote the length as 5x and the width as x.
The formula for the perimeter of a rectangle is 2*(length + width).
So, we can set up the equation: 2*(5x + x) = 24.
Solving this equation, we get:
2*(6x) = 24, 12x = 24, x = 24 / 12, x = 2.
So, the width of the rectangle is 2 feet.
The length is 5 times the width, so the length is 5*2 = 10 feet.
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