SOLUTION: what is the area of parallegogram ABCD with vertices A(-4,-6),B(6,-6),C(-1,5),D(9,5)? dont understand how to get the answer

Algebra ->  Parallelograms -> SOLUTION: what is the area of parallegogram ABCD with vertices A(-4,-6),B(6,-6),C(-1,5),D(9,5)? dont understand how to get the answer      Log On


   



Question 128963This question is from textbook
: what is the area of parallegogram ABCD with vertices A(-4,-6),B(6,-6),C(-1,5),D(9,5)?
dont understand how to get the answer
This question is from textbook

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
what is the area of parallegogram ABCD with vertices A(-4,-6),B(6,-6),C(-1,5),D(9,5)?
dont understand how to get the answer



The formula for the area of a parallelogram
is
A+=+%28base%29%28height%29
We know the base is 10 units long, because the
bottom side extends from 4 units left of the
y-axis to 6 units right of the y-axis. That's
a total of 10 units for the base.
Let's draw the height as a dotted line:

We see that the height extends from 6 units below the x-axis to 5 units
above the x-axis, so that is 11 units.
So
A+=+%28base%29%28height%29 = %2810%29%2811%29 = 110 square units.
Edwin