We are given a figure and we are asked to determine its area. We notice that he figure is formed by 4 right triangles and the area of a triangle is given by:
![A=(bh)/(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/xo42jv4osrwdvc7knat7xohbopzvkw08x9.png)
Where "b" is the base and "h" is the height.
Since the figure is formed by 4 triangles each with the same base and the same height we will multiply the formula for the area by 4:
![A=(4bh)/(2)=2bh](https://img.qammunity.org/2023/formulas/mathematics/high-school/cxylpnostermpomta71f4uo0bdxejszkk1.png)
Now, we substitute the values of base and height. We have that each triangle has a base of 6 meters and a height of 5 meters. Substituting we get:
![A=2(6m)(5m)](https://img.qammunity.org/2023/formulas/mathematics/high-school/6zi1zfnfkemtkbmf2j3mqpq6g99qtde5ut.png)
Solving the operations:
![A=60m^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/850axk94kx3ig91avrjl35xvmuz9o2k645.png)
Therefore, the area is 60 square meters.