We'll have to repeatedly square both sides of the equation, in order to get rid of the square roots. Squaring a first time yields
Move the 19 to the right hand side:
And square again:
Square one last time:
Let's check the solutions: all these squaring might have created external solutions:
So, is a feasible solution.
Answer:
1) The number of vegetable plot Filipe has = 9 vegetable plots
2) A number line with 1/12 divisions will give the number of 1/12 acre vegetable plots as the number of divisions between 0 and 3/4
Step-by-step explanation:
1) The total size of the land Filipe has = 3/4 acre
The size of the vegetable plots to which he separates the land = 1/12 acre
The number of vegetable plot Filipe has = (The total size of the land Filipe has)/(The size of the vegetable plots to which he separates the land )
∴ The number of vegetable plot Filipe has = (3/4)/(1/12) = 9
The number of vegetable plot Filipe has = 9 vegetable plots
2) The number line can be used to model the situation by having the number line that has divisions of 1/12 unit and counting the number of 1/12 divisions between the zero (0) mark and the three quarter (3/4) mark