SOLUTION: Find the area of the figure. Round to the nearest tenth if necessary. L(3,6), M(7,3), N(6,-1), J(2,-1), K(3,3)

Algebra ->  Angles -> SOLUTION: Find the area of the figure. Round to the nearest tenth if necessary. L(3,6), M(7,3), N(6,-1), J(2,-1), K(3,3)      Log On


   

Question 1113946: Find the area of the figure. Round to the nearest tenth if necessary.
L(3,6), M(7,3), N(6,-1), J(2,-1), K(3,3)
Found 2 solutions by CubeyThePenguin, ikleyn:
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
Use Shoelace Theorem.

3.......6
7.......3
6.......-1
2.......-1
3.......3
3.......6

The area is 1/2 * |20 - 64| = 22.

Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.

The given figure is the union of the parallelogram KMNJ (the base JN is 4 units long, the height is 4 units long) 
and the right angled triangle KLM with the legs of 3 and 4 units.


So, the area of the figure is  4*4 + %281%2F2%29%2A3%2A4 = 16 + 6 = 22 square units.      ANSWER

Solved.