Answer:
Area of Figure : 80 square inches
Step-by-step explanation:
We can only assume that the areas of all 4 triangles are congruent, and with that let us find the area of one of these triangles and the square in the middle of the figure;
Area of 1 Triangle ⇒ 1/2 * base * height = 1/2 * 4 in * 8 in = 16 in^2,
Area of all 4 Triangles ⇒ 4 * 16 = 64 in^2,
Area of Square ⇒ length * width = 4 in * 4 in = 16 in^2
Through the Partition Postulate, we can say the Area of the Figure is ⇒ Area of all 4 Triangle + Area of Square = 64 in^2 + 16 in^2 = 80 square inches;
* Area of Figure : 80 square inches *