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

12

Hope it helps!

Step-by-step explanation:

To find the area of the shape, divide it into multiple shapes. This figure can be divided into a large triangle, a smaller triangle and a rectangle.

Area of rectangle = l*b

( l=length, b=breadth)

= 2*1

= 2 units^2

Area of large triangle = 1/2 b*h

(b= base, h= height)

= 1/2 * 4 * 4

= 1/2 * 16

= 16/2

= 8 units^2

Area of small triangle = 1/2 b*h

= 1/2 * 2 * 2

= 4/2

= 2 units^2

Therefore the total area is

2+2+8

= 12 units^2

-1/2 +2

step-by-step explanation: