Question

Find the area of the figure. use 3.14 for pi.a 133.5b 188.5c 149.25d 94.25​

Answer 1

Answer:

  d.  94.25 in²

Step-by-step explanation:

The area of this composite figure is the sum of the areas of a semicircle and a triangle. Each of those areas can be found using the appropriate formula:

  semicircle: A = (π/2)r²

  triangle: A = 1/2bh

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semicircle

The semicircle has a radius equal to half its diameter. The radius is (10 in)/2 = 5 in. Its area is ...

  A = (3.14/2)(5 in)² = 39.25 in²

triangle

The area of the triangle with base 11 in and height 10 in is ...

  A = 1/2bh

  A = 1/2(11 in)(10 in) = 55 in²

total area

The area of the figure is the sum of the areas of the semicircle and triangle, so is ...

  figure area = (39.25 in²) +(55 in²)

  figure area = 94.25 in²