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A vegetable garden is in the shape of a trapezoid. What is the area of the garden?

A. [tex]$16.5 \, \text{m}^2$[/tex]
B. [tex]$24.5 \, \text{m}^2$[/tex]
C. [tex]$33 \, \text{m}^2$[/tex]
D. [tex]$42 \, \text{m}^2$[/tex]

Sagot :

GinnyAnswer
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.
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