Answer:
Area = 3x² + 7x + 3
Perimeter = 8x + 8
Step-by-step explanation:
The figure can be decomposed into two: a large rectangle and a smaller rectangle.
✍️Dimensions of the large rectangle:
Length = (x + 1) + x = x + 1 + x = (2x + 1)
Width = (x + 3)
Area = length × width
Area = (2x + 1)(x + 3)
Expand
2x(x + 3) +1(x + 3)
2x² + 6x + x + 3
Area = 2x² + 7x + 3
✍️Dimensions of the large rectangle:
Length = x
Width = x
Area = length × width
Area = x × x = x²
✍️Area of the figure = area of the large rectangle + area of the smaller rectangle
Area of the figure = (2x² + 7x + 3) + x²
Area of the figure = 2x² + x² + 7x + 3
✅Area = 3x² + 7x + 3
✍️ Perimeter of the figure = sum of the length of all sides of the figure = (x + 3) + x + x + x + (x + 1) + (x + 3) + (x + 1) + x
✅Perimeter = 8x + 8
