Calculate to the nearest 1/10th meter the length of the side of a 7th, 12th, and 30th hectare square plot.

Answer and explanation:

To find : Calculate to the nearest 1/10th meter the length of the side of a 7th, 12th, and 30th hectare square plot.

Solution :

The area of the square is given by,

$A=s^2$ where s is the side length.

We know, $1 \text{ hectare}=10,000\ m^2$

1) The area of square plot is 7 hectare.

Area in meter square is $A=7\times 10000=70000\ m^2$

Substitute the value in the formula,

$70000=s^2$

$\sqrt{70000}=s$

$264.57=s$

Side nearest to 1/10th meter is 264.8 meter.

2) The area of square plot is 12 hectare.

Area in meter square is $A=12\times 10000=120000\ m^2$

Substitute the value in the formula,

$120000=s^2$

$\sqrt{120000}=s$

$346.41=s$

Side nearest to 1/10th meter is 346.4 meter.

3) The area of square plot is 30 hectare.

Area in meter square is $A=30\times 10000=300000\ m^2$

Substitute the value in the formula,

$300000=s^2$

$\sqrt{300000}=s$

$547.72=s$

Side nearest to 1/10th meter is 547.7 meter.

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