Question

Find the area of the figure to the nearest tenth, if necessary.

Answer 1

36
`{ft}^(2)`

Option C is the correct option.

Explanation:

Solution,

Height = 2 ft

Base = 8 - 4 = 4 ft

Finding the area of ∆ ABC :

`(1)/(2) * b * h`

`= (1)/(2) * 4 * 2`

`= 4 \: {ft}^(2)`

Finding the area of rectangle BDEF:

`length \: * breadth`

`= 8 * 4`

`= 32 \: {ft}^(2)`

Total area :

Area of triangle ∆ABC + Area of rectangle BDEF

`= 4 \: {ft}^(2) + 32 { \: ft}^(2)`

`= 36 \: {ft}^(2)`

Hope this helps...

Good luck on your assignment..

Answer 2

36 ft²

Explanation:

Split the figure into two shapes.

Area of figure = Area of rectangle + Area of triangle

Area of rectangle:

`length * width`

`length=8\\width=4`

`8 * 4 = 32`

Area of triangle:

`(base * height)/(2)`

`base=8-4=4\\height=2`

`(4 * 2)/(2)`

`(8)/(2) =4`

Area of figure =
`32 + 4 = 36`