Rogers Ward
04/22/2024 · Elementary School
Tormula. The perimeter is 28 if. and the length is 11 ifi, The width of the rectangle is \( \square \mathrm{in} \). (Type a whole number.)
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Step-by-step Solution
To find the width of the rectangle, we can use the formula for the perimeter of a rectangle, which is given by:
\[
P = 2L + 2W
\]
where \( P \) is the perimeter, \( L \) is the length, and \( W \) is the width.
Given:
- Perimeter \( P = 28 \) inches
- Length \( L = 11 \) inches
We can substitute the known values into the perimeter formula:
\[
28 = 2(11) + 2W
\]
Now, simplify the equation:
\[
28 = 22 + 2W
\]
Next, subtract 22 from both sides:
\[
28 - 22 = 2W
\]
\[
6 = 2W
\]
Now, divide both sides by 2 to solve for \( W \):
\[
W = \frac{6}{2} = 3
\]
Thus, the width of the rectangle is \( \boxed{3} \) inches.
Quick Answer
The width of the rectangle is 3 inches.
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