A rectangle's length and width are in a ratio of 11:5. The perimeter is 96 inches. What are the length and width?length = incheswidth = inchesSubmit
Question
A rectangle's length and width are in a ratio of 11:5. The perimeter is 96 inches. What are the length and width?
- length = inches
- width = inches
Submit
Solution
Let's denote the length as 11x and the width as 5x.
The formula for the perimeter of a rectangle is 2*(length + width).
So, we can set up the equation: 2*(11x + 5x) = 96
Solving this equation step by step:
- Simplify the equation: 2*(16x) = 96
- Divide both sides by 2: 16x = 48
- Divide both sides by 16: x = 3
Now, we can find the length and the width:
Length = 11x = 113 = 33 inches Width = 5x = 53 = 15 inches
So, the length of the rectangle is 33 inches and the width is 15 inches.
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