Answer :

The total area of the given shape is 156 cm².

To find the total area of the shape provided, we can break it down into simpler geometric shapes and then sum their areas.

The given shape consists of two rectangles and a trapezoid.

Let's calculate the area of each component and then add them up.

Rectangle 1:

Length = 7 cm

Width = 8 cm

Area = Length × Width = 7 cm × 8 cm = 56 cm²

Rectangle 2:

Length = 12 cm

Width = 2 cm

Area = Length × Width = 12 cm × 2 cm = 24 cm²

Trapezoid:

Length of the longer base (bottom) = 12 cm

Length of the shorter base (top) = 7 cm

Height (the distance between the bases) = 8 cm

Area of a trapezoid = ½ × (Sum of bases) × Height

Area = ½ × (12 cm + 7 cm) × 8 cm = ½ × 19 cm × 8 cm = 76 cm²

Now, let's add up the areas of these three components to find the total area of the shape:

Total Area = Area of Rectangle 1 + Area of Rectangle 2 + Area of Trapezoid

Total Area = 56 cm² + 24 cm² + 76 cm² = 156 cm².

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