The area of logo 1 is 24 ft² and logo 2 is 16.28 ft².
Concept:
- Area of logo 1 = Area of 2 triangles + Area of Square.
- Area of logo 2= Area of rectangle + Area of Semi circle
- Multiplying the area with scale, we get the final area in sqft.
How to solve the given question?
- Area of logo 1 = Area of 2 triangles + Area of Square
= 2( [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{4}[/tex] ×[tex]\frac{1}{2}[/tex]) + ([tex]\frac{1}{2}[/tex] ×[tex]\frac{1}{2}[/tex])
= [tex]\frac{3}{8}[/tex] inch² - Area of logo 2 = Area of rectangle + Area of Semi circle
= ([tex]\frac{1}{2}[/tex] × [tex]\frac{5}{16}[/tex] ) + ([tex]\frac{\pi }{2}[/tex] × [tex]\frac{1}{4}^2[/tex])
= [tex]\frac{5}{32}[/tex] + [tex]\frac{\pi }{32}[/tex]
= 0.2544 inch²
- If 1 inch = 8 feet ⇒ 1 inch² = 8 × 8 = 64 ft²
∴ Area of Logo 1 = [tex]\frac{3}{8}[/tex] × 64 = 24 ft²
∴ Area of logo 2 = 16.28 ft²
Thus, the area of logo 1 is 24 ft² and logo 2 is 16.28 ft².
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