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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