Answer:
264 in²
Explanation:
The figure given can be divided into 5 parts as shown in the attachment below, and it would consists of the following with their dimensions:
2 triangles of the same dimensions labelled 1 and 2:
Base (b) = 16 in
Height (h) = 10 in
Area = 2*½*b*h = 2*½*16*10 = 160 in²
2 rectangles of the same dimensions labelled 4 and 5:
length (l) = 5 in
width (w) = 4 in
Area = 2(l*b) = 2(20) = 40 in²
1 rectangle labelled 3:
length (l) = 16 in
width (w) = 4 in
Area = l*w = 16*4 = 64 in²
Total area of the figure = 160 + 40 + 64 = 264 in²