Question

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

Answer 1

Answer:

36 ft²

Step-by-step explanation:

Split the figure into two shapes.

Area of figure = Area of rectangle + Area of triangle

Area of rectangle:

$length \times width$

$length=8\\width=4$

$8 \times 4 = 32$

Area of triangle:

$\frac{base \times height}{2}$

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

$\frac{4 \times 2}{2}$

$\frac{8}{2} =4$

Area of figure = $32 + 4 = 36$

Answer 2

Answer:

36${ft}^{2}$

Option C is the correct option.

Step-by-step explanation:

Solution,

Height = 2 ft

Base = 8 - 4 = 4 ft

Finding the area of ∆ ABC :

$\frac{1}{2} \times b \times h$

$= \frac{1}{2} \times 4 \times 2$

$= 4 \: {ft}^{2}$

Finding the area of rectangle BDEF:

$length \: \times breadth$

$= 8 \times 4$

$= 32 \: {ft}^{2}$

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..