Question

A figure is shown below. What is the area of the figure?

Answer 1

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.

`A = (h * b)/(2) \\A = (8 * 6)/(2)\\A = 24`

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.

`A = (a+b)/(2)* h\\A = (10+16)/(2)* 8\\A = 104`

Step-by-step explanation(Addition):

Finally, we add the 3 values.

`24 + 24 + 104 = 152\:cm^2`

Lastly,

Hope this helps!