Answer:
16.5 square feet
Step-by-step explanation:
The logo consists of
- rectangle with sides of 3 ft and 1.5 ft;
- trapezoid with bases 3 ft, 4 ft and height of 3 ft;
- triangle with base of 1.5 ft and height of 2 ft.
The area of rectangle:
[tex]A_{rectangle}=1.5\ ft\times 3\ ft=4.5\ ft^2[/tex]
The area of trapezoid:
[tex]A_{trapezoid}=\dfrac{3\ ft+4\ ft}{2}\times 3 \ ft=3.5\ ft\times 3 \ ft=10.5 \ ft^2[/tex]
The area of triangle:
[tex]A_{triangle}=\dfrac{1}{2}\times 1.5\ ft\times 2 \ ft=1.5\ ft^2[/tex]
Hence, the area of logo:
[tex]A=A_{rectangle}+A_{trapezoid}+A_{triangle}=4.5\ ft^2+10.5\ ft^2+1.5\ ft^2=16.5\ ft^2[/tex]
