https://file.aiquickdraw.com/mathbot/file/1726976434775czhh2c8t.png

The problem asks for the height of the greenhouse in meters, given that the base area is \( 42 \, \text{m}^2 \), with the dimensions of the base being \( 7 \, \text{m} \) by \( x \, \text{m} \). Let's break this down step-by-step:

### Step 1: Solve for \( x \)
The base area of the rectangular structure is calculated as:
\[
\text{Area} = \text{Length} \times \text{Width}
\]
Given that the area is \( 42 \, \text{m}^2 \) and one dimension is \( 7 \, \text{m} \), the equation becomes:
\[
42 = 7 \times x
\]
Solve for \( x \):
\[
x = \frac{42}{7} = 6 \, \text{m}
\]

### Step 2: Determine the Height
The height of the greenhouse is given as \( (x - 3) \, \text{m} \). Since \( x = 6 \, \text{m} \), the height is:
\[
\text{Height} = 6 - 3 = 3 \, \text{m}
\]

### Conclusion:
The height of the greenhouse is \( 3 \, \text{m} \).

Would you like more details or have any questions?

Here are some related questions:
1. How do you calculate the surface area of the greenhouse?
2. What would be the volume of the greenhouse if the height is 3 meters?
3. How does changing the base area affect the height in similar problems?
4. What is the difference between height and length in rectangular prisms?
5. How can you apply this concept to other shapes, like cylinders or pyramids?

**Tip**: Always double-check the dimensions and units when solving geometry problems to ensure accuracy.

Apakah tinggi (dalam meter) rumah hijau jika luas tapak ialah 42 m² dan panjang salah satu sisinya adalah 7 m?

Learn how to calculate the height of a greenhouse with a base area of 42 m² and a side length of 7 meters. This problem uses basic geometry and algebra to solve for the missing dimension. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation