Question

Answer for brainlest plssss

Answer 1

Answer:

$\displaystyle d) 36 \: {in}^{2}$

Step-by-step explanation:

the polygon can be separated in two parts

1. rectangle
2. triangle

let's figure out the area of the rectangle

recall that,

• $\displaystyle A_{ \rm rect} =l \times w$

given that,

• l=9
• w=3

thus substitute:

• $\displaystyle A_{ \rm rect} =9\times 3$

simplify multiplication:

• $\displaystyle A_{ \rm rect} =27$

let's figure out the area of the triangle

remember that,

$\displaystyle A_{ \rm triangle} = \frac{1}{2} \times b\times h$

substitute the value of b and h:

$\displaystyle A_{ \rm triangle} = \frac{1}{2} \times 9\times 2$

reduce fraction:

$\displaystyle A_{ \rm triangle} = 9$

now the area of the polygon would be the total area of the rectangle and triangle thus

$\displaystyle A_{ \rm polygon} = 27 + 9$

simplify addition:

$\displaystyle A_{ \rm polygon} = 36$

hence our answer is D)

Answer 2

The answer is in the photo