Question

Part A: Describe how you can decompose this shape into triangles. (2 points)

Answer 1

Answer:

A: 6 triangles with height 10.4 inches each and base 12 inche

B: 62.4 square inches

C: 374.4 square inches

Step-by-step explanation:

Part A: You can form a triangle by connecting E to the top of the segment and connecting the top of the segment to D. Recreating this with each section will create 6 triangles with height 10.4 inches each and base 12 inches.

Part B: The area of a triangle is A = 1/2b*h. Substitute h = 10.4 and b = 12.

A = 1/2*10.4*12 = 62.4

Part C: There are 6 triangles each with area 62.4. So the area of the whole figure will be 6*62.4 = 374.4.