Answer:
Perimeter = 16 feet
Total Surface Area = 24 sq ft.
Step-by-step explanation:
Let's assume that each square is equal to 1 foot. Using this we can estimate the perimeter and area as the following. For perimeter, we simply add all the squares distances surrounding the shaded object.
Perimeter = 16 feet (4 feet for the top and bottom and 2 feet every diagonal)
For the area, we need to calculate the area of the square in the middle and then the area of the two triangles.
Square = L * W
Square = 4 * 4
Square = 16 sq ft
Triangle = 0.5 * Base * Height
Triangle = 0.5 * 4 * 2
Triangle = 4 sq ft
Both triangles = 4 sq ft * 2 = 8 sq ft.
Now we add both area totals:
Total Surface Area = 16 + 8
Total Surface Area = 24 sq ft.
