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Answer:

39 is your answer which is correct

Answer:

43.5 square feet

Step-by-step explanation:

The area of the figure can be found by dividing the given figure into individual shapes and adding their respective areas together. In this case we see a triangle and two rectangles.

For the triangle, we need to look at it's dimensions:

  • It has a height of 3ft
  • It has a base of 2ft + 3ft

We can plug it into the triangle formula, [tex]A = \frac{1}{2} bh[/tex]

[tex]A = \frac{1}{2} (5ft)(3ft)[/tex]

[tex]A=7.5ft^{2}[/tex]

For the upper rectangle the dimensions are:

  • A height of 2ft
  • A base of 3ft + 3ft + 3ft

We can plug it into the rectangle formula, [tex]A = bh[/tex]

[tex]A=9ft*2ft[/tex]

[tex]A=18ft^{2}[/tex]

For the lower rectangle the dimensions are:

  • A height of 6ft
  • A base of 3ft

We can plug it into the rectangle formula, [tex]A = bh[/tex]

[tex]A=3ft*6ft[/tex]

[tex]A=18ft^{2}[/tex]

Then we add all of the areas of the shapes together to get the area of the figure:

[tex]A=7.5ft^{2} +18ft^{2} +18ft^{2}[/tex]

[tex]A=43.5ft^{2}[/tex]

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