Question

Here is the question
|
|
|
|
v

Answer 1

16.5 square feet

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:

`A_(rectangle)=1.5\ ft* 3\ ft=4.5\ ft^2`

The area of trapezoid:

`A_(trapezoid)=(3\ ft+4\ ft)/(2)* 3 \ ft=3.5\ ft* 3 \ ft=10.5 \ ft^2`

The area of triangle:

`A_(triangle)=(1)/(2)* 1.5\ ft* 2 \ ft=1.5\ ft^2`

Hence, the area of logo:

`A=A_(rectangle)+A_(trapezoid)+A_(triangle)=4.5\ ft^2+10.5\ ft^2+1.5\ ft^2=16.5\ ft^2`