Question

Find the area of the shape shown below.​

Answer 1

28 square units.

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= (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}`