Question

U can start immediately I already got the answer I just need to see if i got it right and understand

Answer 1

80 units²

Step-by-step explanation

One way to solve this is to find the area of the blue square and the subtract the areas of the red triangles:

The blue square is 12 units long by 12 units wide. Its area is:

`A_{\text{square}}=12*12=144`

Then, the area of the big triangle, which has a base 12 units long and a height of 10 units, is:

`A_{\text{traingle}1}=(12*10)/(2)=(120)/(2)=60`

The smaller triangle has a base of 4 units and a heigth of 2 units. Its area is:

`A_{\text{triangle}2}=(4*2)/(2)=(8)/(2)=4`

So the total area of the figure is:

`\begin{gathered} A=A_{\text{square}}-A_(triangle1)-A_(triangle2) \\ A=144-60-4 \\ A=80 \end{gathered}`