Answer:
= 512 ft²
Explanation:
All the rectangular figure:
Area₁ = (32ft + 8ft) (8ft + 8ft)
Area₁ = (40ft)(16ft)
Area₁ = 640ft²
Area of NOT shaded region;
There are 2 similar squares:
Area₂ = 2(8ft*8ft)
Area₂ = 2(64ft²)
Area₂ = 128ft²
Then:
The shaded area is:
Area₁ - Area₂ = Shaded Area
Shaded area = 640 ft² - 128ft²
Shaded area = 512 ft²