A contractor is building the base of a circular fountain. On the blueprint, the baseof the fountain has a diameter of 18 cm. The blueprint has a scale of three cm to four feet. What will the actual area of the base of the fountain, in square feet, after it is built? Round your answer to the nearest tenths of a square foot.

Question

Mathematics

Damian Barajas

14 May, 14:04

A contractor is building the base of a circular fountain. On the blueprint, the baseof the fountain has a diameter of 18 cm. The blueprint has a scale of three cm to four feet. What will the actual area of the base of the fountain, in square feet, after it is built? Round your answer to the nearest tenths of a square foot.

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Answers (1)

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Hugh Foster · Answer 1

452.4 ft²

Step-by-step explanation:

The print diameter is 6 times 3 cm, so the fountain diameter will be 6 times 4 ft, or 24 ft. Then the fountain radius is 12 ft and its area is ...

A = πr² = π (12 ft) ² = 144π ft² ≈ 452.4 ft²

The area of the base of the fountain will be 452.4 ft².