if the side length of a square can be represented by 4x + 4 and its area is 1024 square units, find the value of x

x = 7

Step-by-step explanation:

A = 1024

side length of a square = 4x + 4

A = s²

s = √A

s = √1024

s = 32

using the side length to get the value of x

s = 32

4x + 4 = 32

4x = 32 - 4

x = 28 / 4

x = 7

check:

A = side length * side length

A = (4x + 4) * (4x + 4)

A = (4*7 + 4) * (4*7 + 4)

A = 32 * 32

A = 1024  ok