Question

The length of a side of a square is given by the expression 2 +1, and its perimeter is 56.

Write and solve an equation to determine the value of x.
Calculate the length of a side of the square.

Answer 1

a = 14

Explanation:

P=4a

56=4a

/4 /4

14=a

Check:

56=4*14

56=56

correct ; )

Answer 2

x = 13/2

Explanation:

the perimeter of the square = 4 (2x + 1) = 56 → (solve for x)

divide both sides by 4

2x + 1 =56/4 = 14

2x = 14 - 1 = 13 ⇒ x = 13/2