contestada

Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate TT.
10 ft.
D
12.2 ft.
6 ft.
14 ft.

Find the area of this figure Round your answer to the nearest hundredth Use 314 to approximate TT 10 ft D 122 ft 6 ft 14 ft class=

Respuesta :

Area of triangle

  • 1/2BH
  • 1/2(6)(10)
  • 3(10)
  • 30ft²

Arew of rectangle

  • LB
  • 10(14)
  • 140ft²

Area of semicircle

  • πr²/2

r=10/2=5ff

  • π(5)²/2
  • 25π/2
  • 39.25ft²

Total area

  • 39.25+140+30
  • 170+39.25
  • 209.25ft²

Answer:

209.25  ft²

Step-by-step explanation:

The figure is made up of a triangle, a rectangle and a semicircle.

Area of a triangle = 1/2 x base x height

                              = 1/2 x 6 x 10

                              = 30 ft²

Area of a rectangle = width x length

                                 = 10 x 14

                                 = 140 ft²

Area of a semicircle = 1/2 π r²

                                  = 1/2 x 3.14 x 5²

                                  = 1/2 x 3.14 x 25

                                  = 39.25 ft²

Total area = triangle + rectangle + semicircle

                  = 30 + 140 + 39.25

                  = 209.25  ft²