Answer:
16.5 square feet
Step-by-step explanation:
We can find the total area of the logo by finding the areas of the different shapes within the logo.
Firstly, we can find the area of the rectangle on top.
Area of a rectangle=length*width
Area=1.5*3
Area=4.5ft^2
Next, we can find the area of the trapezoid underneath the rectangle.
Area of a trapezoid=(top length+bottom length)/2*height
Area=(3+4)/2*3
Area=3.5*3
Area=10.5ft^2
Then, we can find the area of the triangle underneath.
Area of a triangle=base*height/2
Area=1.5*2/2
Area=3/2
Area=1.5ft^2
Finally, we add the areas of the shapes that we just calculated to find the total area of the logo.
Total area=4.5+10.5+1.5
Total area=15+1.5
Total area=16.5ft^2
I hope this helps! Please comment if you have any questions.