Question

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

Answer 1

ANSWER

80 units²

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:

$A_{\text{square}}=12\times12=144$

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

$A_{\text{traingle}1}=\frac{12\times10}{2}=\frac{120}{2}=60$

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

$A_{\text{triangle}2}=\frac{4\times2}{2}=\frac{8}{2}=4$

So the total area of the figure is:

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