213k views
0 votes
10)A contractor is building the base of a circular fountain. On

the blueprint, the base of the fountain has a diameter of 9
centimeters. The blueprint has a scale of three centimeters
to four feet. What will be the actual area of the base of the
fountain, in square feet, after it is built? Round your answer
to the nearest tenth of a square foot.

Also explain:)

User Solal
by
3.8k points

1 Answer

2 votes

Answer:

  • 113.1 ft²

Explanation:

The scale:

  • 3 cm ⇔ 4 ft

Diameter of base of fountain:

  • 9 cm ⇔ 12 ft using the above scale

Area of the base:

  • A = πd²/4
  • A = π*12²/4 = 113.097 ≈ 113.1 ft² (rounded)
User Bassam Bsata
by
5.0k points