Question

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Answer 1

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:

$A_{rectangle}=1.5\ ft\times 3\ ft=4.5\ ft^2$

The area of trapezoid:

$A_{trapezoid}=\dfrac{3\ ft+4\ ft}{2}\times 3 \ ft=3.5\ ft\times 3 \ ft=10.5 \ ft^2$

The area of triangle:

$A_{triangle}=\dfrac{1}{2}\times 1.5\ ft\times 2 \ ft=1.5\ ft^2$

Hence, the area of logo:

$A=A_{rectangle}+A_{trapezoid}+A_{triangle}=4.5\ ft^2+10.5\ ft^2+1.5\ ft^2=16.5\ ft^2$