To find the length of the rectangle, we can use the formula for the perimeter of a rectangle, which is:

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

Given:

• The perimeter is 36 inches.
• The width is 4 inches.

Step 1: Set up the equation

Using the formula, we plug in the given values:

$36 = 2 \times (\text{Length} + 4)$

Step 2: Solve for the Length

1. Divide both sides by 2 to simplify: $18 = \text{Length} + 4$

2. Subtract 4 from both sides: $\text{Length} = 18 - 4$ $\text{Length} = 14$

Answer

The length of the rectangle is 14 inches.

Would you like further details on this, or do you have any questions?

Here are some related questions you might find helpful:

1. How would the length change if the perimeter increased by 10 inches?
2. What would be the area of the rectangle with this length and width?
3. How would you find the diagonal length of this rectangle?
4. What if the width were unknown but the perimeter and length were given?
5. How could this formula be adjusted for other shapes?

Tip: For any rectangle, you can find one dimension if you know the other dimension and the perimeter.