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:
[tex]A=\frac{bh}{2}[/tex]
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:
[tex]A=\frac{4bh}{2}=2bh[/tex]
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:
[tex]A=2(6m)(5m)[/tex]
Solving the operations:
[tex]A=60m^2[/tex]
Therefore, the area is 60 square meters.
