Question

The length in inches of each side of a square is given by the expression x+2. The area of the square can be represented by (x+2)^(2)-16=0 when the area is 16 square inches. What is the value of x?

Answer 1

x = 2

Explanation:

the area (A) of a square is calculated as

A = s² ( where s is the side length )

given s = x + 2 and A = 16 , then

(x + 2)² = 16 ( take square root of both sides )

x + 2 =
`√(16)` = 4 ( subtract 2 from both sides )

x = 2