Figure abcde has vertices a(−2, 3), b(2, 3), c(5, −2), d(0, −3), and e(−2, −2). plot the points on your own coordinate grid and connect the points in alphabetical order. decompose figure abcde into rectangles and triangles. part a: how many triangles and rectangles did you make? part b: use figure abcde created on your coordinate grid to find the lengths, in units, of sides ab and ae. part c: what is the area of figure abcde? show your work.

A) The figure decomposes nicely into 1 rectangle and 2 triangles.

B) AB = 4 units; AE = 5 units.

C) The rectangle whose diagonal is BE has area 4*5 = 20 units^2.
.. The triangle CDE has area (1/2)*7*1 = 7/2 units^2.
.. The triangle BCF has area (1/2)*3*5 = 15/2 units^2.
The total area of the figure is
.. area = rectangle + triangle CDE + triangle BCF
.. = (20 +7/2 +15/2) units^2
.. = 31 units^2

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Check:
.. Compare our computed value of area to that listed for poly1 on the left side of the figure.