The length of a side of a square is 5x+2 units. If it has a perimeter of 48, what is equation for the perimeter? What is the value of x? What is the area of the square?

To find the perimeter of a square, take 4 times the length of one side:

20x + 8 = 48 {used distributive property}

20x = 40 {subtracted 8 from each side}

To find the area of a square, just square one side:

5x + 2 is one side

= 5(2) + 2 {substituted 2 for x}

= 10 + 2 {multiplied}

= 12 {added}

Therefore, the length of one side is 12

the area is 12², which is

**4(5x + 2) = 48**is the equation for the perimeter {four times one side equals the possible perimeter}20x + 8 = 48 {used distributive property}

20x = 40 {subtracted 8 from each side}

**x = 2**{divided each side by 0}To find the area of a square, just square one side:

5x + 2 is one side

= 5(2) + 2 {substituted 2 for x}

= 10 + 2 {multiplied}

= 12 {added}

Therefore, the length of one side is 12

the area is 12², which is

**144 square units for the area***- Algebra House*