Question

The length of a side of a square is given by the expression 2x+1, and its perimeter is 56. write and solve an equation to determine the value of x

Answer 1

x = $\frac{13}{2}$

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

divide both sides by 4

2x + 1 = $\frac{56}{4}$ = 14

2x = 14 - 1 = 13 ⇒ x = $\frac{13}{2}$