Question

When each side of a square with side $s$ is increased by $2$ inches, which of the following represents the increase, in square inches, of the area of the square?

• A. $s^2+4$
• B. $(s+2{)}^2$
• C. $4$
• D. $2x+4$
• E. $4s+4$

Answer 1

The correct option is E $4s+4$

Area of square with side $s=s^2$

Area of square with side $(s+2)={(s+2)}^2$

Increase in the area $={(s+2)}^2-s^2$

$=s^2+4s+4-s^2$

$=4s+4$