Question

A square of side $y$ is shown in the figure given below:
Find an expression for the difference between the area and perimeter of the square.

• A. $4y-y^2$
• B. $4y$
• C. $y^2$
• D. $y^2-4y$

Answer 1

The correct option is D $y^2-4y$

We are given with a square of side $y$ as shown:

Perimeter of the square
$=4\times$ Side length
$=4\times y$
$=4y$

Area of the square $=$ Side${}^2$
$=y^2$

Difference between area and perimeter of square $=$ Area $-$ Perimeter
$=y^2-4y$

$y^2-4y$ is the required expression for the difference of area and perimeter of a square of side $y$. Therefore, option (d.) is the correct answer.