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Answer :
The inequality that models this problem is 2(3w) * 2w ≤112
Let the length of the rectangle be "l"
Let the width of the rectangle be "w"
The formula for calculating the perimeter of a rectangle is expressed as:
P = 2(l+w)
If the length of a rectangle is three times its width, this is expressed as:
l = 3w
If the perimeter is at most 112cm, hence;
P ≤112
2(l+w) ≤112
2(3w+w) ≤112
2(3w) * 2w ≤112
Hence the inequality that models this problem is 2(3w) * 2w ≤112
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