Question

Find the area of the shape shown below.​

Answer 1

Answer:

28 square units.

Step-by-step explanation:

Let us divide the shape into two rectangles and a right triangle. The resulting composite figure is attached.

As we see in the figure the area $A_T$ of the triangle is

$A_T= \frac{1}{2} (2)(4)=4\: units^2$.

The area $A_{r1}$ of the bigger rectangle is (it's actually a square )

$A_{r1}=4*4=16\:units^2$,

and the area of the smaller rectangle is

$4*2 =8\:units^2$.

Therefore, the total area $A_{tot}$ of the shape is

$A_{tot}= A_T+A_{r1}+A_{r2}$

$A_{tot}= 4\:units^2+16\:units^2+8\:units^2$

$\boxed{A_{tot}=28 \:units^2}$