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Answer :
Final answer:
The width of the rectangle is 2 inches, found by using the perimeter formula for a rectangle and solving it with the given length and perimeter values.
Explanation:
To find the width of a rectangle when we know the length and the perimeter, we need to use the formula for the perimeter of a rectangle which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. In this problem, we have a length (l) of 9 inches and a perimeter (P) of 22 inches.
Let's substitute the known values into the formula:
22 = 2(9) + 2w
22 = 18 + 2w
Now, we subtract 18 from both sides to solve for w:
22 - 18 = 2w
4 = 2w
Finally, we divide both sides by 2 to find the width of the rectangle:
w = 4 / 2
w = 2
So, the width of the rectangle is 2 inches.
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