Question

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

figure?​

Answer 1

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

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}`