A farmer has a field of area $49 \frac{4}{5}$ ha. He wants to divide it equally among his one son and two daughters. Find the area of each one’s share. "ha" is the symbol of hectare and 1 hectare = 10,000 m $^{2}$ .

$16 \frac{3}{5} h a$

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$\frac{83}{5} h a$

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$16600 m^{2}$

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$83000 m^{2}$

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Solution

The correct options are
A
$16 \frac{3}{5} h a$

B
$\frac{83}{5} h a$

C
$16600 m^{2}$

Given, a field of area $49 \frac{4}{5}$ ha, which is to be divided into three equal parts.

$49 \frac{4}{5} h a = \frac{249}{5} h a$ [Any mixed fration $a \frac{b}{c}$ can be written $\frac{a c + b}{c}$ ]
Each share = $\frac{1}{3} \times \frac{249}{5} h a = \frac{83}{5} h a = 16 \frac{3}{5} h a$
$∵$ 1 hectare = 10,000 m $^{2}$
$∴ \frac{83}{5} h a = \frac{83}{5} \times 10000 = 16600 m^{2}$

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A farmer has a field of area 4945 ha. He wants to divide it equally among his one son and two daughters. Find the area of each one’s share. "ha" is the symbol of hectare and 1 hectare = 10,000 m2.

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A farmer has a field of area $49 \frac{4}{5}$ ha. He wants to divide it equally among his one son and two daughters. Find the area of each one’s share. "ha" is the symbol of hectare and 1 hectare = 10,000 m $^{2}$ .