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?

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Answer 1 · 2017-05-31T01:48:32

$5,000$ sq m

$1$ 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 = $2x+3x+5x$

$:. 10,000 = 2x+3x+5x = 10x$

$x=(10,000)/10 = 1,000$

Hence, the lots are $2,000, 3,000 and 5,000$ sq m

$:.$ the largest lot is $5,000$ sq m

A one hectare plot of land is divided into three lots in the ratio 2:3:52:3:5. What is the size of the largest lot?