Calculate to the nearest 1/10th meter the length of the side of a 7th, 12th, and 30th hectare square plot.
Accepted Solution
A:
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, [tex]A=s^2[/tex] where s is the side length.We know, [tex]1 \text{ hectare}=10,000\ m^2[/tex]1) The area of square plot is 7 hectare.Area in meter square is [tex]A=7\times 10000=70000\ m^2[/tex]Substitute the value in the formula,[tex]70000=s^2[/tex] [tex]\sqrt{70000}=s[/tex] [tex]264.57=s[/tex] Side nearest to 1/10th meter is 264.8 meter.2) The area of square plot is 12 hectare.Area in meter square is [tex]A=12\times 10000=120000\ m^2[/tex]Substitute the value in the formula,[tex]120000=s^2[/tex] [tex]\sqrt{120000}=s[/tex] [tex]346.41=s[/tex] Side nearest to 1/10th meter is 346.4 meter.3) The area of square plot is 30 hectare.Area in meter square is [tex]A=30\times 10000=300000\ m^2[/tex]Substitute the value in the formula,[tex]300000=s^2[/tex] [tex]\sqrt{300000}=s[/tex] [tex]547.72=s[/tex] Side nearest to 1/10th meter is 547.7 meter.