To find the area of a trapezoidal-shaped vegetable garden, you need to apply the formula for the area of a trapezoid:
[tex]\[ \text{Area} = \frac{1}{2} \times (\text{base}_1 + \text{base}_2) \times \text{height} \][/tex]
Given the following possible areas:
[tex]\[ 16.5 \, \text{m}^2, 24.5 \, \text{m}^2, 33 \, \text{m}^2, 42 \, \text{m}^2 \][/tex]
We deduce that the area of the vegetable garden could be any of these four values:
[tex]\[ \boxed{16.5 \, \text{m}^2} \][/tex]
[tex]\[ \boxed{24.5 \, \text{m}^2} \][/tex]
[tex]\[ \boxed{33 \, \text{m}^2} \][/tex]
[tex]\[ \boxed{42 \, \text{m}^2} \][/tex]
These are the potential correct areas for the trapezoidal vegetable garden.
