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An artist is designing a unique geometric trophy base using a flat sheet of acrylic. The base is composed of several distinct sections that need to be cut from the same material. To calculate the total cost of materials, the artist needs to find the total surface area of the following composite shape:


1. The Upper Sections: A "stack" consisting of a top rectangle measuring 6 cm by 2 cm, with another rectangle directly below it measuring 6 cm by 1 cm.

2. The Left Wing: A right-angled triangle attached to the left side with a base of 3 cm and a height of 3 cm.

3. The Central Column: A middle rectangle measuring 6 cm by 2 cm, with a final rectangle of the same dimensions (6 cm by 2 cm) placed directly beneath it.

4. The Decorative Base: A semi-circular plate at the very bottom with a radius of 5 cm.

Question: What is the total area of the acrylic sheet required for this design? (Use 𝜋 ≈ 3.14159)

 
 Apr 22, 2026, 3:34:49 AM
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The answer is 45.27.

 9 hours ago

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