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koban [17]
3 years ago
10

Here is the question | | | | v

Mathematics
1 answer:
raketka [301]3 years ago
3 0

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.

<u>The area of rectangle:</u>

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

<u>The area of trapezoid:</u>

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

<u>The area of triangle:</u>

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

Hence, <u>the area of logo:</u>

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

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