Question

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)

Answer 1

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