Question

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.

Answer 1

See below ~

Explanation:

Room A

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

Room B

• 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 A needs more carpeting.

Room A needs more wallpaper.