The interval notation for width of rectangle will be: (1,33)
Step-by-step explanation:
Perimeter of rectangle < 172 feet
Length of rectangle = 53 feet
Width of rectangle = ? (range of values)
The formula used to find perimeter of rectangle is:
![Perimeter=2l+2w](https://tex.z-dn.net/?f=Perimeter%3D2l%2B2w)
where l is length and w is width
In our case we will use:
because perimeter should be less than 172
Putting values:
![2l+2w](https://tex.z-dn.net/?f=2l%2B2w%3CPerimeter%5C%5C2%2853%29%2B2w%3C172%5C%5C106%2B2w%3C172%5C%5C2w%3C172-106%5C%5C2w%3C66%5C%5Cw%3C66%2F2%5C%5Cw%3C33)
So, width should be less than 33
Since width should be positive and greater than 0
So, the interval notation for width of rectangle will be: (1,33)
Keywords: Perimeter of rectangle
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