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Respuesta :

Answer:

75 cm²

Step-by-step explanation:

We can solve for the area of the trapezoid by plugging its dimensions into the formula:

[tex]A=\frac{1}2(b_1 + b_2) \cdot h[/tex]

↓ plugging in the given dimensions

[tex]A = \frac{1}2(15 + 10) \cdot 6[/tex]

↓ simplifying the addition (inside the parentheses)

[tex]A = \frac{1}2(25) \cdot 6[/tex]

↓ simplifying the multiplication

[tex]A=\frac{25}2 \cdot 6[/tex]

[tex]\boxed{A=75\text{ cm}^2}[/tex]