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Answer:
The rectangle has a width of 18 inches and a height length of 8 inches.
Step-by-step explanation:
The perimeter of a rectangle is described by the equation:
where <em>l</em> is width, <em>h</em> is height, and <em>p</em> is perimeter.
We're also told that the total perimeter is 52 inches.
We're also told that the length is six inches less than three times the width. We can express that as .
We can plug that definition of w into the perimeter equation to find the length:
Now we can take that and the given perimeter, and substitute those into the perimeter equation to find the width:
So the width is 18