12. \( A=b h \), when \( A=150 \mathrm{~m}^{2} \) and \( h=25 \mathrm{~m} \)

In our equation \( A = b \times h \), when we know the area \( A \) is 150 m² and the height \( h \) is 25 m, we can easily find the base \( b \). By rearranging the equation to solve for \( b \), we get \( b = \frac{A}{h} = \frac{150 \, \text{m}^2}{25 \, \text{m}} \), which simplifies to \( b = 6 \, \text{m} \). Now, what’s fun is applying this knowledge! Understanding the area of shapes comes in handy in many real-world scenarios—like when you’re designing a garden or building a new room. Knowing how to calculate the area can help you maximize your space effectively and ensure everything fits just right—no awkwardly shaped furniture!