A one hectare plot of land is divided into three lots in the ratio 2:3:5. What is the size of the largest lot?

May 31, 2017

$5 , 000$ sq m

Explanation:

$1$ hectare $= 10 , 000$ sq m

The lots are divided in the ratio: $2 : 3 : 5$

Let $x$ sq m be a unit allocation.

Hence, the total area = $2 x + 3 x + 5 x$

$\therefore 10 , 000 = 2 x + 3 x + 5 x = 10 x$

$x = \frac{10 , 000}{10} = 1 , 000$

Hence, the lots are $2 , 000 , 3 , 000 \mathmr{and} 5 , 000$ sq m

$\therefore$ the largest lot is $5 , 000$ sq m