As an employee of Melvil Corporation Ltd, you have been entrusted to enclose two triangular corn fields with metal and wooden fencing. Triangle ABC represents the first corn field and triangle ACD represents the second corn field. Segment AC represents the metallic fence that is used to separate the two fields. As you may have noticed, point C divides segment BD into two congruent parts. However, the coordinates of point C are not given. You should be able to calculate the coordinates of the point C by using the midpoint formula, midpoint = [(x1 + x2) /2; (y1 + y2) /2]. Furthermore, you have to calculate the length of each segment. Your task is to enclose triangle ABC with a metal fence, which costs $40 per yard, while the remaining sides of triangle ACD will be enclosed with a wooden fence, which costs $60 per yard. How much money would it cost to enclose the entire field? Your task is to answer the following questions:
a) How would you find the length of AB?
b) How would you find the length of AD?
c) What is the length of BD?
d) What are the coordinates of point C?
e) What is the length of DC?
f) What is the length of BC?
g) What is the length of AC?
h) What is the cost of the metallic fence that will be placed along side AC?
i) What is the cost of the wooden fence that will be placed along side AD?
j) What is the cost of the metallic fence that will be placed along side AB?
k) What is the cost of the wooden fence that will be placed along side DC?
L) What is the cost of the entire project?