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44cm²

Step-by-step explanation:

Rectangle = 20cm² (10×2)

Triangle = 24cm² (8×6)/2

Area of the fig is 44 sq cm. Option A.

Step-by-step explanation:

The given fig consists of two fig: rectangle and right angle triangle.

Base (b) of the triangle = 8 cm

Height (h) of the triangle = 4 cm

Length (l) of the rectangle = 2 cm

Width (w) of the rectangle = 10 cm

To find the area of the figure.

Formula

Area of the fig = area of the rectangle + area of the triangle

Area of the rectangle = l× w

Area of the triangle = ×b×h

Now,

Area of the rectangle = 10×2 sq cm = 20 sq cm

Area of the triangle = ×8×6 sq cm = 24 sq cm

Hence,

Area of the fig = 20+24 sq cm = 44 sq cm