What is the total area, in square inches, of the figure shown below?

264 in²

Step-by-step 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