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Answer :
To solve this problem, we'll calculate the width of the bulletin board given its perimeter and length.
1. Understand the formula for the perimeter of a rectangle:
The perimeter [tex]\( P \)[/tex] of a rectangle is given by the formula:
[tex]\[
P = 2 \times (\text{length} + \text{width})
\][/tex]
In this case, we know the perimeter is 88 inches, and the length is 22 inches.
2. Set up the equation with the given values:
Substituting the known values into the formula, we have:
[tex]\[
88 = 2 \times (22 + \text{width})
\][/tex]
3. Solve for the width:
First, divide both sides of the equation by 2 to simplify:
[tex]\[
\frac{88}{2} = 22 + \text{width}
\][/tex]
[tex]\[
44 = 22 + \text{width}
\][/tex]
Next, subtract 22 from both sides to find the width:
[tex]\[
44 - 22 = \text{width}
\][/tex]
[tex]\[
\text{width} = 22
\][/tex]
Therefore, the width of the bulletin board is 22 inches.
1. Understand the formula for the perimeter of a rectangle:
The perimeter [tex]\( P \)[/tex] of a rectangle is given by the formula:
[tex]\[
P = 2 \times (\text{length} + \text{width})
\][/tex]
In this case, we know the perimeter is 88 inches, and the length is 22 inches.
2. Set up the equation with the given values:
Substituting the known values into the formula, we have:
[tex]\[
88 = 2 \times (22 + \text{width})
\][/tex]
3. Solve for the width:
First, divide both sides of the equation by 2 to simplify:
[tex]\[
\frac{88}{2} = 22 + \text{width}
\][/tex]
[tex]\[
44 = 22 + \text{width}
\][/tex]
Next, subtract 22 from both sides to find the width:
[tex]\[
44 - 22 = \text{width}
\][/tex]
[tex]\[
\text{width} = 22
\][/tex]
Therefore, the width of the bulletin board is 22 inches.
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