Respuesta :

Answer:

[tex]180 {m}^{2} [/tex]

Step-by-step explanation:

The area of a trapezoid is given by:

[tex]Area = \frac{1}{2} (sum \: of \: bases) \times h[/tex]

From the diagram, the bases are 17m 23m, and the the height is 12m.

We substitute the values into the formula to get:

[tex]Area = \frac{1}{2} (17 + 13) \times 12[/tex]

[tex]Area = \frac{1}{2} \times 30 \times 12[/tex]

[tex]Area = 6 \times 30[/tex]

This implies that

[tex]Area = 180 {m}^{2} [/tex]