Answer:
108 cm²
Explanation:
The composite shape can be divided as shown into a trapezoid and a triangle. The area of the shape is the sum of the areas of those parts.
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trapezoid
The top portion of the shape is marked as a trapezoid with bases 12 cm and 6 cm, and height 6 cm. Its area is given by ...
A = 1/2(b1 +b2)h
A = 1/2(12 cm +6 cm)(6 cm) = 1/2(18 cm)(6 cm) = 54 cm²
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triangle
The bottom portion of the shape is marked as a triangle. The triangle has a base of 12 cm and a height of (15 cm -6 cm) = 9 cm. Its area is ...
A = 1/2bh
A = 1/2(12 cm)(9 cm) = 54 cm²
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total area
The area of the composite figure is the sum of the areas of its parts:
total area = trapezoid area + triangle area
total area = 54 cm² +54 cm² = 108 cm²
The area of the logo is 108 cm².