Answer:
Dimensions: 24, 24, 104
Total: 152 cm²
Step-by-step explanation(Triangles):
Given the triangles are equal to each other, we only need to solve one to get the other.
[tex]A = \frac{h \times b}{2} \\A = \frac{8 \times 6}{2}\\A = 24[/tex]
Therefore, the triangles' area are 24 cm.
Step-by-step explanation(Trapezoid):
Because of the height being unknown, we can define that using the side triangles. These triangles have a height of 8, so that also means the trapezoid has a height of 8. Now we can solve.
[tex]A = \frac{a+b}{2}\times h\\A = \frac{10+16}{2}\times 8\\A = 104[/tex]
Step-by-step explanation(Addition):
Finally, we add the 3 values.
[tex]24 + 24 + 104 = 152\:cm^2[/tex]
Lastly,
Hope this helps!
