Question

The scale on a map is $1:1000$. The area of a lake on map is $1.4$ centimeter square .calculate the actual area of the lake in square meters.

• A. $140$
• B. $160$
• C. $150$
• D. $120$

Answer 1

The correct option is A $140$

Given area of lake $=1.4c{m}^2=1.4\times 1c{m}^2$

Using ratio $1:1000$, we get-

$1.4\times 1c{m}^2=1.4\times (1000{)}^{2}c{m}^2$
$=1.4\times 1000000c{m}^2$
As

$1m=100cm$

$1m^2=100\times 100c{m}^2$

So $1.4\times 1000000c{m}^2=\frac{1.4\times 1000000}{100\times 100}$

$=1.4\times 100=140m^2$