1. The figure is made up of a square and a triangle. Therefore, you can solve this problem by applying the formula for calculate the area of a square and the formula for calculate the area of a triangle.
2. The area of the square (A1) is:
A1=(y)(y)
A1=y²
3. The area of the triangle (A2) is:
A2=(y)(4)/2
4. When you simplify it, you obtain:
A2=2y
5. Finally, you obtain the area of the figure (A) when you sum the area of the square and the area of the triangle:
A=A1+A2
A=y²+2y