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likoan [24]
2 years ago
6

In each room shown, you plan to put down carpet and add a wallpaper border around the ceiling. Which room needs more carpeting?

more wallpaper?
Room A or B needs more carpeting.
Room A or B needs more wallpaper.

Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
6 0

Answer:

See below ~

Step-by-step explanation:

<u>Room A</u>

  • Area (carpeting) = 10 × 11 + 6 × 4 = 110 + 24 = 134 ft²
  • Perimeter (wallpaper) = 10 + 2(11) + 2(4) + 6 = 16 + 22 + 8 = 46 ft

<u>Room B</u>

  • Area (carpeting) = 12 × 8 + 1/2 × 3.14 × 6² = 96 + 3.14 × 18 = 96 + 56.52 = 152.52 ft²
  • Perimeter (wallpaper) = 12 + 2(8) + 3.14 × 6 = 28 + 18.84 = 46.84 ft

Room <u>A</u> needs more carpeting.

Room <u>A</u> needs more wallpaper.

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