Question

Mr.Dickens inherit three square plots of lands of sides 40 m, 56 m, and 58 m.
He wants to change them for just one plot, also square, and of the same total area as the three original plots. Determine the side of the plot Mr.Dickens wants

Answer 1

If Mr.Dickens wants to change original square plots for just one plot, also square, with the same total original area. Then the side of the new plot Mr.Dickens wants is 90 m long.

area of a square = side^2

plot 1 = 40^2 = 1600 m^2

plot 2 = 56^2 = 3136 m^2

plot 3 = 58^2 = 3364 m^2

total area = 1600 m^2 +3136 m^2+3364 m^2 = 8100 m^2

New plot = 8100 m^2

8100 m^2  = side^2

Side = 90 m