Please help me! I don't understand this question at all

Find the area of the following shape. You must show all work to receive credit.

Figure ABCDEF is shown. A is located at negative 5, negative 8. B is located at 1, negative 8. C is located at 3, negative 5. D is located at 1, 0. E is located at negative 5, negative 3. F is located at negative 3, negative 6.

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

Answer Link

mamushka1973 mamushka1973 · Answer 2 · 2021-02-02T23:22:22+01:00

Answer:

57

Step-by-step explanation:

In order to be able to solve this question, you will have to divide the figure.

I have created four different triangles:

ABC, AFC, CFD and FDE

In order to find the area of a triangle, we must use A = 1/2bh

For the first triangle, the area would be:

A = 1/2 (9) (3)

A = 1/2 (27)

A = 13.5

Now we do the same for the rest of the triangles in this shape, and we add them all together as shows to get the answer or the total area:

13.5 + 13.5 + 18 + 12 = 57

57 = the area of the shape