A triangle garden problem uses base and derived height to compute area through a geometric formula.
Solve:
\[ \text{A triangular garden has a base of 12 m. The height is 3 m less than the base.} \] \[ \text{Find the area of the garden in square meters.} \]
Diagram:
\[ \begin{array}{c} \text{ A} \\ \text{ /\ } \\ \text{ / | \ } \\ \text{ / | \ } \\ \text{ / |9 \ } \\ \text{ /____|___\ } \\ \text{ B 12 m C} \end{array} \]
Solution:
\[ \text{Height is 3 m less than the base:} \] \[ h=12-3=9 \] \[ \text{Use triangle area formula:} \] \[ A=\frac{1}{2}bh \] \[ A=\frac{1}{2}\times 12 \times 9 \] \[ A=6\times 9 \] \[ A=54 \]
Final Answer:
\[ A=54\text{ m}^2 \]
The triangle dimensions convert directly into area.
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