> > a map has a scale of 1: 50,000 the area of the farm on the map is 6cm^2.

a map has a scale of 1: 50,000 the area of the farm on the map is 6cm^2.

What is the real area of the farm in hectares? (1 hectare = 10,000...

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a map has a scale of 1: 50,000 the area of the farm on the map is 6cm^2.

What is the real area of the farm in hectares?
(1 hectare = 10,000 m^2= 0.01 km^2)

Answer

[tex]a\ scale\ s=1:50,000=\frac{1}{50,000}=\frac{1}{5\cdot10^4}\\\\A_m=6cm^2-the\ area
o\ the\ map\\\\A_r=?
-the
eal\ area\\\\\frac{A_m}{A_r}=s^2\\\\\frac{6}{A_r}=\left(\frac{1}{5\cdot10^4}
ight)^2\\\\\frac{6}{A_r}=\frac{1}{(5\cdot10^5)^2}\\\\\frac{6}{A_r}=\frac{1}{5^2\cdot(10^4)^2}[/tex] frac 6 A_r = frac 1 25 cdot10 8 cross multiply A_r=6 cdot25 cdot10 8 A_r=150 cdot10 8 A_r=1 5 cdo... =1 5 cdot10 6 m 2=1 5 cdot10 6 10 000 ha=1 5 cdot10 6 10 4 ha =1 5 cdot10 6 cdot10 -4 ha=1 5 cdot...

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Virtual Teaching Assistant: John B.
Question Level: Basic
Karma: Free
Upload Date: 5/31/2017

This 35 words question was answered by John B. on StudySoup on 5/31/2017. The question contains content related to Math Since its upload, it has received 352 views.

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