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The problem presents a rectangle with a given area and partial dimensions. The height of the rectangle is labeled as **3 cm**, and the width is expressed as **(s - 2) cm**. The area of the rectangle is **15 cm²**.

### Step-by-step solution:

1. **Area of a Rectangle Formula**:
   The area \( A \) of a rectangle is calculated as:
   \[
   A = \text{height} \times \text{width}
   \]
   
2. **Substitute the known values**:
   The area is given as 15 cm², the height is 3 cm, and the width is \( (s - 2) \) cm:
   \[
   15 = 3 \times (s - 2)
   \]

3. **Solve for \( s \)**:
   Divide both sides of the equation by 3 to isolate \( (s - 2) \):
   \[
   \frac{15}{3} = s - 2
   \]
   \[
   5 = s - 2
   \]

4. **Add 2 to both sides**:
   \[
   s = 5 + 2
   \]
   \[
   s = 7
   \]

Thus, the value of \( s \) is **7 cm**.

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Do you need further details or have any questions?

Here are some related questions you might find helpful:
1. How do you calculate the perimeter of this rectangle once you know \( s \)?
2. What is the width of the rectangle if \( s = 7 \)?
3. How would the area change if \( s \) were larger by 2 cm?
4. Can you solve for \( s \) if the area was 18 cm² instead?
5. What would happen if the height of the rectangle was doubled?

**Tip**: When solving for variables in geometric problems, always check that the units are consistent throughout the problem!

The area of the rectangle is 15 cm². What is s in centimetres (cm)?

Learn how to find the value of s when the area of a rectangle is 15 cm², the height is 3 cm, and the width is represented as (s - 2) cm. This problem uses basic algebra and geometry principles to solve for the unknown variable.

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