SOLUTION: What is the area of the square EFGH? E=(-4,2); F=(-1,5); G=(2,2); H=(-1,-1) A. 27 units^2 B. 9sqrt(2 units ^2 C. 18 units^2 D. 12sqrt(2 units ^2

Algebra ->  Average -> SOLUTION: What is the area of the square EFGH? E=(-4,2); F=(-1,5); G=(2,2); H=(-1,-1) A. 27 units^2 B. 9sqrt(2 units ^2 C. 18 units^2 D. 12sqrt(2 units ^2      Log On


   



Question 588785: What is the area of the square EFGH? E=(-4,2); F=(-1,5); G=(2,2); H=(-1,-1)
A. 27 units^2
B. 9sqrt(2 units ^2
C. 18 units^2
D. 12sqrt(2 units ^2

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
C. 18 units ^2
The diagonals are 6 units long ie from (-4,2) to (2,2) and from
(-1,5 to -1,-1)
the diagonal is a hypotenuse.
x^2+x^2=36
2x^2=36
x^2=18
area =x^2
therefore area=18