Question

A square of side x is cut out of a larger square of side y. What is the area of the remaining

Answer 1

Answer:

The area of the remaining figure is $y^2-x^2$

Step-by-step explanation:

Area of the Square Shape

Given a square of side length x, the area is calculated by the formula:

$A_x=x^2$

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:

$A_y=y^2$

The shaded area of the remaining figure is the difference between both areas:

$A=A_y-A_x$

$A=y^2-x^2$

The area of the remaining figure is $\mathbf{y^2-x^2}$