SOLUTION: in a cartesian coordinate system, the coordinates of a quadrilateral are (1,1), (0,8), (4,5), and (-3,4). what is area

Algebra ->  Length-and-distance -> SOLUTION: in a cartesian coordinate system, the coordinates of a quadrilateral are (1,1), (0,8), (4,5), and (-3,4). what is area      Log On


   

Question 1086199: in a cartesian coordinate system, the coordinates of a quadrilateral are (1,1), (0,8), (4,5), and (-3,4). what is area
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
the coordinates of a quadrilateral are
(1,1), (0,8), (4,5), and (-3,4)

to find the area, first find the length of sides which is equal to distance between points
AC=sqrt%28%284-1%29%5E2%2B%285-1%29%5E2%29=sqrt%289%2B16%29=sqrt%2825%29=5
BC=sqrt%28%280-4%29%5E2%2B%288-5%29%5E2%29=sqrt%2816%2B9%29=sqrt%2825%29=5
both sides same; so, you have a square
and, the area is: 5%2A5=25