The formula for the perimeter $P$ of a rectangle is:

$P = 2(\text{Length} + \text{Width})$

Given:

• $P = 84$ inches
• $\text{Length} = 28$ inches
• $\text{Width} = w$

Substituting the given values:

$84 = 2(28 + w)$

Step 1: Divide by 2

$42 = 28 + w$

Step 2: Solve for $w$

$w = 42 - 28$

$w = 14$

Thus, the width of the rectangle is 14 inches.

Would you like a step-by-step explanation or have any questions?

Here are five related questions to practice:

1. A rectangle has a length of 25 inches and a perimeter of 100 inches. What is its width?
2. The perimeter of a rectangle is 96 cm, and its width is 20 cm. What is its length?
3. If the length of a rectangle is doubled while keeping the width the same, how does the perimeter change?
4. A square has the same perimeter as a rectangle with dimensions 30 inches by 12 inches. What is the side length of the square?
5. A rectangular garden has a width of 18 meters and a perimeter of 90 meters. What is its length?

Tip: The perimeter formula can be rearranged to find length or width if you know the other dimension!