Question

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

Answer 1

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* 10000=70000\ m^2`

Substitute the value in the formula,

`70000=s^2`

`√(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* 10000=120000\ m^2`

Substitute the value in the formula,

`120000=s^2`

`√(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* 10000=300000\ m^2`

Substitute the value in the formula,

`300000=s^2`

`√(300000)=s`

`547.72=s`

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