SOLUTION: What is the area of a quadrilateral with vertices at (-3,-1), (-1,4) ,(7,4), and (5,-1) ? A 50 units^2 B 45 units^2 C 8sqrt(29) units^2 D 40 units^2

Algebra ->  Length-and-distance -> SOLUTION: What is the area of a quadrilateral with vertices at (-3,-1), (-1,4) ,(7,4), and (5,-1) ? A 50 units^2 B 45 units^2 C 8sqrt(29) units^2 D 40 units^2       Log On


   



Question 347617: What is the area of a quadrilateral with vertices at (-3,-1), (-1,4) ,(7,4), and (5,-1) ?
A 50 units^2 B 45 units^2 C 8sqrt(29) units^2 D 40 units^2

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The area, A is the length x height
The line connecting (-3,-1) and (5,-1) is a horizontal line segment
with length 5+-+%28-3%29+=+8 and is 1 unit below the x-axis
The other pair, (-1,4) and (7,4) also has a length 7+-+%28-1%29+=+8
and also is horizontal with a height above the x-axis of 4
The total distance between the horizontal line segments is 4+-%28-1%29+=+5
A+=++8%2A5
A+=+40 square units