Question

Please solve this for me

Answer 1

Answer:

  about 13.73 square feet

Step-by-step explanation:

We presume you want the area of the figure.

It can be decomposed into a triangle with base 3.6 ft and height 4.8 ft, together with a semicircle of diameter 3.6 ft.

The area of the triangle is given by ...

  A = 1/2bh

For the given base and height, this is ...

  A = (1/2)(3.6 ft)(4.8 ft) = 8.64 ft²

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The radius is half the diameter, so the radius of the semicircle is 1.8 ft. The area of a whole circle of radius 1.8 ft is given by ...

  A = πr² = π(1.8 ft)² = 3.24π ft²

We want the area of half the circle, so its area will be ...

  semicircle area = (1/2)(3.24π ft²) = 1.62π ft² ≈ 5.089 ft²

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Then the total area of the figure is ...

  total area = triangle area + semicircle area

  = 8.64 ft² + 5.09 ft²

  total area = 13.73 ft²