| v | = 5,831
take the starting point.
in the graph you can see that the coordinates are (1,1)
then it takes the final point that has the coordinates (4.6)
now subtract the final coordinates - the initial coordinates
v = < >
v = < 4-1, 6-1>
v = < 3, 5>
then, by definition, the magnitude of the vector is:
because when i put the points on a graph and drew a line through them, the rise over run is 4/3
half the diagonal is given as 7 yards, the full diagonal would be 7 x 2 = 14 yards.
the formula for the length of a side of a square using just the diagonal is:
side = √2(d/2)
side = √2 (14/2)
side = √2(7)
side = 9.9 yards.
the area of a square is s^2
area = 9.9^2
area = 98.01
area = 98.0 yards^2