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A man purchased a plot which is in the shape of a square. The area of the plot is 12 hectares and 3201 $m^{2}$ . Find the length of each side of the plot (in cm).

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35100 cm

35000 cm

35900 cm

36100 cm

answer is A.

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Detailed Solution

It is given that the area of the plot is 12 hectares and 3201

m^{2}

.
1 hectare=10000

m^{2}

Therefore, the total area of square plot = (120000+3201)

m^{2}

=123201

m^{2}

We know that area=(

sid {e)}^{2}

.
Therefore,

Area = 123201 m^{2}

{\Rightarrow (Side)}^{2} = 123201 m^{2}

\Rightarrow S^{2} = 123201

\Rightarrow S = \sqrt{123201}

\Rightarrow S = \sqrt{9 \times 9 \times 3 \times 3 \times 13 \times 13}

\Rightarrow S = 9 \times 3 \times 13 m = 351 m

\Rightarrow S = 35100 cm [1 m = 100 cm]

Therefore, the length of each side of the plot is 35100cm.
Hence, the correct option is 1.

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