Graph the quadrilateral ABCD with A(-5,8), B(7,4), C(-5,0), and D(-9,4), and then find its area?
1 Answer
Dec 12, 2016
This is a kite with diameters of lengths
Its area is:
Explanation:
This is a kite...
graph{((2/3(x+5)-1/3sqrt((x+5)^2)+y-4)^100+(2/3(x+5)-1/3sqrt((x+5)^2)-(y-4))^100-2*4^100) = 0 [-11.13, 8.87, -0.88, 9.12]}
If we add diagonals and enclosing rectangle, then you can see that its area is one half of the area of the rectangle...
graph{((2/3(x+5)-1/3sqrt((x+5)^2)+y-4)^100+(2/3(x+5)-1/3sqrt((x+5)^2)-(y-4))^100-2*4^100)(y-4)(x+5)(((x+1)/2)^100+(y-4)^100-4^100) = 0 [-11.13, 8.87, -0.88, 9.12]}
The enclosing rectangle is
#1/2 xx 16 xx 8 = 64#