2. Area of the entire figure = 14f + 20 units².
Perimeter of the entire figure = 6f + 18 units².
3. D. 8.
4. 11/15
Perimeter = 2(length + width)
Area = (length)(width).
2. Decompose the shape into two rectangles, rectangle 1 and rectangle 2.
Length of rectangle 1 = f
Width of rectangle 1 = 4
Area of rectangle 1 = (f)(4) = 4f units²
Length of rectangle 2 = 2f + 4
Width of rectangle 2 = 5
Area of rectangle 2 = (2f + 4)(5) = 10f + 20 units²
Area of the entire figure = 4f + 10f + 20
Area of the entire figure = 14f + 20 units².
Perimeter of the entire figure = 2f + 4 + 5 + f + 4 + f + 2f + 5
Add like terms
Perimeter of the entire figure = 6f + 18 units².
3. A factor of 44 is any number that can divide 44 without a remainder. 8 is not a factor of 44 because it cannot divide 44 without a remainder. So, the answer is: D. 8.
4. 33/45 = (3 × 11) / (3 × 15)
= 11/15
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