Answer:
46.75 cm²
Explanation:
The figure can be decomposed into 3 rectangles.
Area of the figure = area of rectangle A + area of rectangle B + area of rectangle C
✔️Area of rectangle A = L*W
L = 4 cm
W = 5½ cm = 5.5 cm
Area = 4*5.5 = 22 cm²
✔️Area of rectangle B = L*W
L = 8½ - (4 + 3) = 8½ - 7 = 1.5 cm
W = 5½ - 2 = 3.5 cm
Area = 1.5*3.5 = 5.25 cm²
✔️Area of rectangle C = L*W
L = 3 cm
W = 6½ cm = 6.5 cm
Area = 3*6.5 = 19.5 cm²
✔️Area of the figure = 22 + 5.25 + 19.5 = 46.75 cm²