lauren052263
contestada

The playground pictured here is having rubber flooring installed to help protect children against injuries from falls. If the cost, including installation, is $8.00 per square foot, what is the total cost of installing the surface?

The playground pictured here is having rubber flooring installed to help protect children against injuries from falls If the cost including installation is 800 class=

Respuesta :

Answer:

$6,672

Step-by-step explanation:

Area of Playground

  • Area (rectangle) + 2 x Area (semicircle)
  • 26 x 20 + 2 x 3.14 x 10² x 1/2
  • 520 + 314
  • 834 square feet

Cost

  • $8.00 per square feet
  • $8 x 834
  • $6,672
semsee45

Answer:

Using π:  $6,673.27 (nearest cent)

Using π = 3.14:  $6,672

Step-by-step explanation:

Separate the figure into a rectangle and two semicircles.

Area of a rectangle = width × length

                                = 20 ft × 26 ft

                                = 520 ft²

Area of a semicircle = 1/2 π r²

                                 = 1/2 π · 10²

                                 = 50π ft²

⇒ Total area = area of rectangle + (2 × area of semicircle)

                     = 520 + (2 × 50π)

                    = (520 + 100π) ft²

⇒ Total cost = area × cost

                     = (520 + 100π) × $8

                     = $6,673.27 (nearest cent)

**using π = 3.14**

Total cost = (520 + 100 × 3.14) × $8 = $6,672

Otras preguntas