Find the area of the following shape. You must show all work to receive credit A (-4, 0), B(0, 4), C(2, 2), D(1,0)
1 answer:
9514 1404 393
Answer:
13 square units
Step-by-step explanation:
See the attached figure.
The horizontal dashed line divides the figure into two pieces:
- a triangle 4 wide and 2 high
- a trapezoid 2 high with bases 5 and 4
The appropriate area formulas can be used to find the areas of these. The figure's area will be their sum.
A = (1/2)bh = (1/2)(4)(2) = 4 . . . . square units
A = (1/2)(b1 +b2)h = (1/2)(5 +4)(2) = 9 . . . . square units
The area of the shape is ...
(4 +9) square units = 13 square units
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