12. A fence has poles at points A(1,-1), B(-4,6) and C(-3,-5). If each pole is shifted 2 units up and then pole A is further shifted, 3 units to the right, what is the change in the square unit area enclosed?

Question

12.	A fence has poles at points A(1,-1), B(-4,6) and C(-3,-5). If each pole is shifted 2 units up and then pole A is further shifted, 3 units to the right, what is the change in the square unit area enclosed?

chaise · Answer

A(1,-1) 
B(-4,6)
C(-3,-5)

Each pole is shifted 2 units UP, this means in the y direction. 

A(1,1)
B(-4,8)
C(-3,-3)

Then pole A is shifted 3 units to the right, this means in the positive x direction.

A(4,1)
B(-4,8)
C(-3,-3)

You should now determine the area within the initial triangle, bound by (plot these points and find the area):
A(1,-1) 
B(-4,6) = A
C(-3,-5)

You should determine the area within the second triangle bound by (plot these points and find the area):

A(4,1)
B(-4,8)=B
C(-3,-3)


The change in area would be: A-B. 

Goodluck!

anonymous · Answer

A.	24
B.	27
C.	13.5
D.	9.5