A rectangular area 12m long and 8m wide is to be used for a patio with a pool as
shown in the Figure 1. The pool contains a rectangular spring board (shown in
red, not drawn exactly to scale). The length of the spring board and also the
distance from the borders of the lot has been expressed in terms of an unknown
x.
a) Find the value(s) of parameter x (in meters) considering that the spring board
area has been measured to be 3 m2
. (20 Pts).
b) If x represents a complex number(s) express it in a rectangular form. (20 Pts).
c) Show graphical representation of the parameter x values as a complex
number. Add both values graphically and show the resultant vector on the
graph. (25 Pts).
d) Calculate the polar form of parameter x value (in the Quadrant I only
A rectangular area 12m long and 8m wide is to be used for a patio with a pool as
shown in the Figure 1. The pool contains a rectangular spring board (shown in
red, not drawn exactly to scale). The length of the spring board and also the
distance from the borders of the lot has been expressed in terms of an unknown
x.
a) Find the value(s) of parameter x (in meters) considering that the spring board
area has been measured to be 3 m2
. (20 Pts).
b) If x represents a complex number(s) express it in a rectangular form. (20 Pts).
c) Show graphical representation of the parameter x values as a complex
number. Add both values graphically and show the resultant vector on the
graph. (25 Pts).
d) Calculate the polar form of parameter x value (in the Quadrant I only
