Answer:
The area of the remaining figure is [tex]y^2-x^2[/tex]
Step-by-step explanation:
Area of the Square Shape
Given a square of side length x, the area is calculated by the formula:
[tex]A_x=x^2[/tex]
It's given a square of side x is cut out of a larger square of side y. Please refer to the image below.
The area of the square of side length y is:
[tex]A_y=y^2[/tex]
The shaded area of the remaining figure is the difference between both areas:
[tex]A=A_y-A_x[/tex]
[tex]A=y^2-x^2[/tex]
The area of the remaining figure is [tex]\mathbf{y^2-x^2}[/tex]
