Respuesta :

09pqr4sT

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:

[tex]length \times width[/tex]

[tex]length=8\\width=4[/tex]

[tex]8 \times 4 = 32[/tex]

Area of triangle:

[tex]\frac{base \times height}{2}[/tex]

[tex]base=8-4=4\\height=2[/tex]

[tex]\frac{4 \times 2}{2}[/tex]

[tex]\frac{8}{2} =4[/tex]

Area of figure = [tex]32 + 4 = 36[/tex]

TheAnimeGirl

Answer:

36[tex] {ft}^{2} [/tex]

Option C is the correct option.

Step-by-step explanation:

Solution,

Height = 2 ft

Base = 8 - 4 = 4 ft

Finding the area of ∆ ABC :

[tex] \frac{1}{2} \times b \times h[/tex]

[tex] = \frac{1}{2} \times 4 \times 2[/tex]

[tex] = 4 \: {ft}^{2} [/tex]

Finding the area of rectangle BDEF:

[tex]length \: \times breadth[/tex]

[tex] = 8 \times 4[/tex]

[tex] = 32 \: {ft}^{2} [/tex]

Total area :

Area of triangle ∆ABC + Area of rectangle BDEF

[tex] = 4 \: {ft}^{2} + 32 { \: ft}^{2} [/tex]

[tex] = 36 \: {ft}^{2} [/tex]

Hope this helps...

Good luck on your assignment..

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