Racetrack Design The accompanying figure depicts a racetrack with ends that are semicircular in shape. The length of the track is 1320 ft (1/4 mi). Find / and r such that the area of the rectangular region of the racetrack is as large as possible. (Round your answers to the nearest foot.) 1 = ft ft What is the area enclosed by the track in this case? (Round your answer to the nearest square foot.) ft²

PREALGEBRA
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ISBN:9781938168994
Author:OpenStax
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Chapter9: Math Models And Geometry
Section9.5: Solve Geometry Applications: Circles And Irregular Figures
Problem 259E: Area of a Tabletop Yuki bought a drop-leaf kitchen table. The rectangular part of the table is a...
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Racetrack Design The accompanying figure depicts a racetrack with ends that are semicircular in shape. The length of the track is 1320 ft (1/4 mi). Find /
and r such that the area of the rectangular region of the racetrack is as large as possible. (Round your answers to the nearest foot.)
r =
1 =
ft
ft
What is the area enclosed by the track in this case? (Round your answer to the nearest square foot.)
ft²
Transcribed Image Text:Racetrack Design The accompanying figure depicts a racetrack with ends that are semicircular in shape. The length of the track is 1320 ft (1/4 mi). Find / and r such that the area of the rectangular region of the racetrack is as large as possible. (Round your answers to the nearest foot.) r = 1 = ft ft What is the area enclosed by the track in this case? (Round your answer to the nearest square foot.) ft²
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