Question

Find the area of the shape shown below.
6
2.
units2

Answer 1

12 units²

Explanation:

we need to notice that the shape has two right triangles and a rectangle

the area of right triangles is b*h/2 and of the rectangle side*length

area of first triangle

Base=2

Height=2

`A=(2*2)/(2) =2`

Area of the square

Side=2

Length=2

`A_2=2*2=4`

Area of the second triangle

Base=2

Height=6

`A_3=(2*6)/(2) =6`

so we need to add all three areas

`A_T=A_1+A_2+A_3\\\\A_T=2+4+6=12\\\\A_T=12`

So the area is 12 units²

Answer 2

12
`units^(2)`

Explanation:

square: 2 x 2 = 4 units sq

small triangle: 2 x 2 = 4, 4 / 2 = 2 units sq

big triangle: 2 x 6 = 12, 12 / 2 = 6 units sq

4 + 2 + 6 = 12 units sq