SOLUTION: ABCD is a quadrilateral with A(1,1) B(9,25) C(15,23) D (0,-22). Find the exact area of ABCD.
How to find area of quadrilateral with uneven sides? Thanks
Algebra.Com
Question 1027639: ABCD is a quadrilateral with A(1,1) B(9,25) C(15,23) D (0,-22). Find the exact area of ABCD.
How to find area of quadrilateral with uneven sides? Thanks
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Use Co-ordinate geometry formula
draw the diagonal for the quadrilateral
if (x1,y1),(x2,y2),(x3,y3)
are the vertices of a triangle then its area is given by
|1/2(x1(y2−y3)+x2(y3−y1)+x3(y1−y2))|
A(1,1) B(9,25) C(15,23)
(x1,y1),(x2,y2),(x3,y3)
A=|(1/2)(1(23-25)+15(25-1)+9(1-23)|=80
A(1,1) C(15,23) D (0,-22).
A= |(1/2)(1(-22-23)+15(1--22)+0)|=150
Calculate and add
to get the area of quadrilateral
RELATED QUESTIONS
The coordinates of the vertices of a quadrilateral ABCD are A(-2,3), B(3,3), C(3,-2), and (answered by pmesler)
A parallelogram whose diagonals are perpendicular is called a rhombus.
Given the... (answered by Solver92311)
the vertices of a quadrilateral are A (-2,3), B(5,4), C(4,-3) and D(-3,-4) prove that... (answered by math-vortex)
in a quadrilateral ABCD A=[3x+5],B=[3x-10],C=[x+25]and D=[2x-15] find the angle of the... (answered by MathLover1)
graph a quadrilateral with points of A(6,5), B(-3,-1), C(-1,-4), D(8,2)
what type of... (answered by jim_thompson5910)
the diagram shows a triangle ABC in which a is point (6,-3). the line AC passes through... (answered by tommyt3rd)
Given the points A(1,5), B(5,-2) C(-5,-5) and D(-15,1).
1.Find the area of the... (answered by Alan3354,ikleyn)
How can I solve the following?
Quadrilateral ABCD has vertex coordinates A(2,4), B(6,1), (answered by actuary)
Quadrilateral ABCD has vertices A(-3,1), B(1,4), C(4,0), and D(0,-3). Prove that... (answered by Boreal)