The scale on a map is 1:20000. The area of a lake on the map is 1.6 square centimeters. Calculate the actual area of the lake.

The scale on a map is 1:20000. The area of a lake on the map is 1.6 square centimeters. Calculate the actual area of the lake.

1. A
64 ${m}^{2}$
2. B
64000 ${m}^{2}$
3. C
640000000 ${m}^{2}$
4. D
None of these

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Solution:

Using the ratio 1:20000 in 1.6, we get,
1.6×1 ${\mathit{cm}}^{2}$ = 1.6×${\left(20000\right)}^{2}$                   =1.6×400000000
= 640000000 ${\mathit{cm}}^{2}$                   = $\frac{640000000}{10000}$                   = 64000 ${m}^{2}$
So, Option 2 is correct.

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