SOLUTION: What are the dimensions of a rectangle whose length is 4 more than twice the width and whose perimeter is less than 7 times the width? Please help me out with this question as I'v

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Question 1021128: What are the dimensions of a rectangle whose length is 4 more than twice the width and whose perimeter is less than 7 times the width?
Please help me out with this question as I've forgotten how to set it up. Thank you.

Answer by MathTherapy(10552) About Me  (Show Source):
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What are the dimensions of a rectangle whose length is 4 more than twice the width and whose perimeter is less than 7 times the width?
Please help me out with this question as I've forgotten how to set it up. Thank you.
Let width be W
Then length or L = 2W + 4
Perimeter = 2(L + W), or 2L + 2W, or 2(2W + 4) + 2W, or 4W + 8 + 2W, or 6W + 8
We then get: 6W+%2B+8+%3C+7W
6W - 7W + 8 < 0 ------- Subtracting 7W from each side
- W + 8 < 0
- W < - 8 ------ Subtracting 8
Width, or W+%3E+%28-+8%29%2F%28-+1%29, or highlight_green%28W+%3E+8%29
L = 2(9) + 4 ------ Substitute 9 for W
L = 18 + 4, or highlight_green%28matrix%281%2C5%2C+L+=+22%2C+when%2C+W%2C+or%2C+width+=+9%29%29
If you substitute a different value for W: the width - one that's greater than 8 - the length's value will change.