It seems like you're providing an area of 42 m². This likely refers to the area of the base of the greenhouse. Let's explore how this information can be used:

### Step 1: Base Area Formula
The base of the greenhouse is a rectangle, so its area \( A \) is calculated by:
\[
A = \text{length} \times \text{width}
\]

Given:
- Length = 7 meters
- Width = \( x \) meters
- Area \( A = 42 \text{ m}^2 \)

### Step 2: Set Up the Equation
\[
7 \times x = 42
\]

### Step 3: Solve for \( x \)
To find the width \( x \):
\[
x = \frac{42}{7} = 6 \text{ meters}
\]

So, the width \( x \) of the greenhouse is 6 meters.

### Step 4: Find the Height
The height of the greenhouse is given by \((x - 3)\) meters:
\[
\text{Height} = 6 - 3 = 3 \text{ meters}
\]

Would you like any further details or assistance?

### Additional Questions:
1. How would the volume of the greenhouse change if the height was different?
2. What would the perimeter of the base be with the width found?
3. Can you find the surface area of the entire greenhouse?
4. If the area was different, how would that affect \(x\)?
5. How would changing the length of the greenhouse impact the overall area?

**Tip:** In geometry problems, solving for one dimension often unlocks the solution to finding other related measurements.

Learn how to calculate the dimensions of a greenhouse with a base area of 42 m² using geometry formulas. This problem involves finding the length and width of the greenhouse based on the given area. Suitable for students in Grades 7-9.

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