A park has an area of 10.38 square acres. It has a running track around it. Can the length of the running track be ascertained from that information?
Not from that information alone. Also, as has been noted, the unit is "acre", not "square acre". 1 acre = 43560 square feet.
0 Replies
Strauss
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Sat 17 Mar, 2012 01:17 pm
@fresco,
Specious argument. If you arbitrarily choose the lenght of a side, you can have the perimeter.
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contrex
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Sat 17 Mar, 2012 01:20 pm
We don't even know if the park has a regular shape. Most don't, unless you live in Gridland. However, running tracks are often built to standard sizes, but whether this one was, and which one, we are not told either.
I can see that it is a rectangle. The City's website says that it is 10.38 acres. I incorrectly added "square."
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raprap
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Sat 17 Mar, 2012 02:59 pm
@gollum,
No.
A rectangle has a perimeter (P) of 2 times the length (l) and 2 times the width (w), The area (A) is the product of the length(l) and the width(w).
Acre is a unit of area.
P=2l+2w
A=lw
if A is known then w=A/l
& P=2A/l+2l=2(A/l+l)
P is still a function of l (length).
Rap
0 Replies
ossobuco
1
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Sat 17 Mar, 2012 03:14 pm
Running track around it - you mean a running tract just outside of the acreage or just inside? Is the running track oval? by length of running track are you asking the length of the middle of the running track or the outside line of it?
If the park is perfectly square, which by the way minimizes the perimeter, the parks perimeter is about 1/3 of a mile.
A=174240 square ft
l=√174240 ft=417.42 ft
p=4l=1670 ft=0.31~1/3 mile
Rap
0 Replies
contrex
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Sat 17 Mar, 2012 03:52 pm
@gollum,
gollum wrote:
The track isn't very wide. I want only an approximate idea of how far I am running.
1. Do a web search for the dimensions of a regulation standard running track and try to find out e.g. from the park authorities if the track is built to the standard.
2. Surf to it on Google Maps and choose satellite image then print it out and use a ruler to measure the track, referring to the scale information on the Google image.
3. Pace it out.
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rishi banerjee
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Wed 13 Jun, 2012 10:51 pm
@gollum,
No we cannot determine it as no relation between length or breadth is given.
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jamesoconner
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Sat 30 Jun, 2012 05:59 am
@gollum,
Perimeter of rectangle= 2(l+b)
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MontereyJack
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Sat 30 Jun, 2012 06:10 am
Running tracks don't make right angle turns, for obvious reasons. You do lose a lot in the corners. If you know someplace that is a mile, run that and count your paces. Count your paces on the park track, knowing the two figures, it's easy to figure out the length of the park track.
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