SOLUTION: Hi May I have some help solving this problem? Plot the points A(0, 0), B(3, 0), C(2, 9), and D(1, 9) on a coordinate plane. Draw the segments AB, BC, CD, and DA. What is its a

Algebra ->  Linear-equations -> SOLUTION: Hi May I have some help solving this problem? Plot the points A(0, 0), B(3, 0), C(2, 9), and D(1, 9) on a coordinate plane. Draw the segments AB, BC, CD, and DA. What is its a      Log On


   

Question 123187: Hi May I have some help solving this problem?

Plot the points A(0, 0), B(3, 0), C(2, 9), and D(1, 9) on a coordinate plane. Draw the segments AB, BC, CD, and DA. What is its area?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Plot the points A(0, 0), B(3, 0), C(2, 9), and D(1, 9) on a coordinate plane. Draw the segments AB, BC, CD, and DA. What is its area?
it is trapezoid:

if AB=a
and CD=b
then Area+=+1%2F2+h%28a+%2B+b%29
we need a lenght a and b
a distance between A and B ....=>...a lenght a=%28x2-x1%29=3-0=3
a distance between C and D....=>...a lenght b=%28x2-x1%29=2-1=1
now to find a lenght h we need a distance B to CD=9=h
then Area+=+%281%2F2%29+9%283+%2B+1%29
Area+=+%281%2F2%29+9%284%29
Area+=+9%2A2
+Area+=+18