Find the area of the following shape. you must show all work to receive credit. figure abcdef is shown. a is located at negative 2, 6. b is located at negative 5, 2. c is located at negative 2, negative 3. d is located at 4, negative 3. e is located at 5, 3. f is located at 1, 3,

The shape given is irregular. so, there is no given formula for getting its area and we can only approximate its area.since the figure is drawn on a grid, we can use the unit squares covered by the shape to find its area.  the area will be calculated as follows,  (number of complete squares + (number of partially covered by the shape)/2)number of complete squares = 45number of partially covered squares 21this will give the area as,  area = (45+21/2)          = 45 + 10.5          = 55.5 unit squared

To solve this problem you can divide the figure is known figures that have exact formulas for calculate their areas. as you can see in the figure attached, you can divide in two trapezoids, one rectangle and two right triangles. therefore, you have:   area=((4+3)6)/2+((6+3)5)/2+(3x1)+(3x4)/2+(3x3)/2  area=21+22.5+3+6+4.5  area=57  the answer is: the area is 57