Question

A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?

x + 4
x + 40
3x + 13
3x + 43

Answer 1

3x+13

Explanation:

Answer 2

Option (3) is correct.

side length of square is (3x + 13 ) units.

Explanation:

For a square with side 'a'. Perimeter is defined as the sum of length of side. Since, Square has four sides. Thus Perimeter of square = 4 × side

Given square has perimeter = 12x + 52

Comparing both sides,

4 × side = 12 x + 52

⇒ Side =
`(12x+52)/(4)`

⇒ Side =
`(4(3x+13))/(4)`

⇒ Side = 3x + 13

Thus, side length of square is (3x + 13 ) units.

Thus, option (3) is correct.