SOLUTION: Find the area of the figure. Round to the nearest tenth if necessary. X(3,2), Y(5,0), Z(5,-3), U(-5,-3), V(-5,0), W(-3,2)

Algebra ->  Angles -> SOLUTION: Find the area of the figure. Round to the nearest tenth if necessary. X(3,2), Y(5,0), Z(5,-3), U(-5,-3), V(-5,0), W(-3,2)      Log On


   



Question 1113944: Find the area of the figure. Round to the nearest tenth if necessary.
X(3,2), Y(5,0), Z(5,-3), U(-5,-3), V(-5,0), W(-3,2)

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....2
5....0
5....-3
-5...-3
-5....0
-3....2

Area = 1/2 * |-40 - 40| = 40

Answer by ikleyn(52943) About Me  (Show Source):
You can put this solution on YOUR website!
.
Find the area of the figure. Round to the nearest tenth if necessary.
X(3,2), Y(5,0), Z(5,-3), U(-5,-3), V(-5,0), W(-3,2)
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It is a simple union of the rectangle YZUV with dimensions 10 by 3 units and 

a trapezoid XYVW with the bases of 10 and 6 units long and the height of 2 units.



So the total area = 10*3 + %28%2810%2B6%29%2F2%29%2A2 = 30 + 16 = 46 square units.

Solved.

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The answer by tutor @CubeyThePenguin is incorrect.