Respuesta :

I would always begin by calculating the total area of the original shape, so I would start with multiplying 32 and 16 together

This would mean the whole rectangle is 512 units

then we calculate the other areas, each of which are 64 units (8*8)

add these together, since there's two

128 missing

512 - 128 = 384

The shaded region is 384 feet^2

Answer:

512 ft²

Step-by-step explanation:

To find the area of the shaded region, calculate the area of the entire shape and subtract the corner squares which are not shaded. The entire shape is a rectangle and its area is found by A = l*w. Substitute l = 40 and w = 16.

A = l*w = 40*16 = 640

To calculate the area of the corner squares is similar. The area of a square is A = s². Substitute s = 8. A = 8² = 64. Subtract this area from 640 twice. This will leave the area of the shaded region.

640 - 64 - 64 = 512

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