Can any one check this for me? { i will give medal}

A map has a scale of 1:2500. On the map, a reservoir has an area of 2cm^2. What in the area of the reservoir?
Give your answer in m^2

Question

Can any one check this for me? { i will give medal}

A map has a scale of 1:2500. On the map, a reservoir has an area of 2cm^2. What in the area of the reservoir?
Give your answer in m^2

anonymous · Answer

then the answer is 2 * 10^-2 ( I converted it into m) times 2500. I think you can take care of the rest.

anonymous · Answer

$$l _{1}:l _{2}=1:2500$$
$$l ^{2}_{1}:l ^{2}_{2}=1^{2}:2500^{2}=1:6.25\times10^{6}$$
$$1cm ^{2}=100^{2} cm ^{^{2}}$$ $$2cm ^{2}=1.25\times10^{7}cm ^{2}$$

anonymous · Answer

$$10000cm ^{2}=1m ^{2}$$
$$1.25\times10^{7}cm ^{2}=1.25\times10^{3}m ^{2}$$

anonymous · Answer

when$$1.25\times10^{7}cm ^{2}\div10000cm ^{2}$$

anonymous · Answer

the answer is 0.5 m^2

anonymous · Answer

but im getting $$1.25\times 10^{3}m ^{2}$$

anonymous · Answer

thats because u r squaring 2500

anonymous · Answer

I get 1250 m2

anonymous · Answer

@sheelo_mughal you are right!

anonymous · Answer

well i dont think so... 
1:2500
=> 2:5000
now 2cm^2 in map = 5000 cm^2 in real.
Then converting 5000 cm^2 to m^2 we get 0.5m^2

it is the answer.

anonymous · Answer

no my dear you can't do that, wrong calcs ;)

anonymous · Answer

this ratio of 1:2500 applies to linear length, not to surface areas, ok?

anonymous · Answer

check out any random map with scales u will get that 1cm^2 represents x cm^2...
so u r wrong :)

anonymous · Answer

imagine the 2cm^2 area is made up of 2cm width times 1cm length, now apply the ratio of 1:2500 to these dimensions and you'll get the right answer :)

anonymous · Answer

let's agree to disagree then http://www.google.com.au/search?q=map+scales&client=safari&rls=en&tbm=isch&imgil=TuOlbwA0zy4llM%253A%253Bhttp%253A%252F%252Ft1.gstatic.com%252Fimages%253Fq%253Dtbn%253AANd9GcT9gUyHThPqROC_9cBTkdeG8LmyfGMn-tPMVzmFH2UAFMw6RTKH%253B1076%253B381%253BLnBpySFX4rWFWM%253Bhttp%25253A%25252F%25252Fwww.uta.edu%25252Fpaleomap%25252Fgeol1435%25252Fmapscale.htm&source=iu&usg=__YXyFHBtJCqXXFL9D4KHPMdCiv74%3D&sa=X&ei=yud5U9a7A8f3kAWBt4C4CA&ved=0CCwQ9QEwAA#facrc=_&imgdii=_&imgrc=KttJeSvIX9MWuM%253A%3BG6TlyzY60wsaXM%3Bhttp%253A%252F%252Fwww.bbc.co.uk%252Fschools%252Fgcsebitesize%252Fgeography%252Fimages%252Fskills_004.gif%3Bhttp%253A%252F%252Fwww.bbc.co.uk%252Fschools%252Fgcsebitesize%252Fgeography%252Fgeographical_skills%252Fmaps_rev2.shtml%3B226%3B170

anonymous · Answer

well may be u r right

anonymous · Answer

may be ;)

loser66 · Answer

I vote to the Asker,

loser66 · Answer

I got 1.25 x 10^3 m^2