What is the area of the shaded part of the figure?

A.
144 mm²

B.
288 mm²

C.
432 mm²

D.
720 mm²

here is the link
https://static.k12.com/calms_media/media/1388500_1389000/1388545/1/1eabe39f7c4f89c2c50889b2393d95e6835377b4/62368_FGA_U3_L7_V1_P.jpg

Question

What is the area of the shaded part of the figure?		
  

 
 A.
144 mm²
 
 B.
288 mm²
 
 C.
432 mm²
 
 D.
720 mm²


here is the link 
https://static.k12.com/calms_media/media/1388500_1389000/1388545/1/1eabe39f7c4f89c2c50889b2393d95e6835377b4/62368_FGA_U3_L7_V1_P.jpg

kaedalozzano10 · Answer

can some one help me

mathstudent55 · Answer

Find the area of the triangle and subtract the area of the square.

mathstudent55 · Answer

Do you know how to find the area of a triangle?

kaedalozzano10 · Answer

yes

kaedalozzano10 · Answer

$$a =base  \times hieght $$

mathstudent55 · Answer

divided by 2

mathstudent55 · Answer

$\large A_{triangle} = \dfrac{base \times height}{2} $

mathstudent55 · Answer

What are the base and height of the triangle?

kaedalozzano10 · Answer

the bas is 24 and the height is 12

mathstudent55 · Answer

Good.
Can you now find the area of the triangle?

kaedalozzano10 · Answer

ok i got 144 as my answer

kaedalozzano10 · Answer

so is that right

mathstudent55 · Answer

That is your final answer for the shaded area?
If so it is correct.

mathstudent55 · Answer

Area of triangle = 24 mm * 24 mm / 2 = 288 mm^2
Area of square = 12 mm * 12 mm = 144 mm^2
Shaded area = area of triangle - area of square = 288 mm^2 - 144 mm^2 = 144 mm^2

kaedalozzano10 · Answer

ok thanks

mathstudent55 · Answer

You're welcome.