Lane width is 1.2 meters.
in Geometry Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

The running track is enclosed in red. The inner dimensions must give us the track length of 300m for the runner in lane 1 (innermost). So πd+2s=300. The area of the central plot is sd+πd²/4 and the area of the whole track including the central plot is s(d+20l)+π(d+20l)²/4.

The track area itself is the difference between these two areas:

20ls+10πl(d+10l). We know l=1.2m (lane width), and s=½(300-πd), if we assume that lane 1 has a total length of 300m. If we insert the known values we get:

24s+12π(d+12)=12(300-πd)+12π(d+12)=3600+144π=4052.39 sq m approx.

We need the answer in square feet. 1ft=0.3048m, so 1sq ft=0.0929sq m approx. 4052.39sq m=43619.6 sq ft approx.

 

by Top Rated User (1.1m points)

Related questions

2 answers
asked Aug 18, 2012 in Word Problem Answers by anonymous | 1.0k views
3 answers
asked Oct 12, 2012 in order of operations by anonymous | 8.9k views
1 answer
1 answer
asked Mar 10, 2013 in Geometry Answers by anonymous | 1.4k views
1 answer
asked Mar 25, 2013 in Geometry Answers by anonymous | 548 views
2 answers
asked Sep 24, 2013 in Other Math Topics by Laura | 957 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
87,542 questions
99,807 answers
2,417 comments
523,545 users