The area of a square park is 16x² + 8x + 1. What is the length of the park?

Solution (By Examveda Team)

Let the length of square park = L
Area = L²
L² = 16x² + 8x + 1
Length of the park
$$\eqalign{ & = \sqrt {16{x^2} + 8x + 1} \cr & = \sqrt {{{\left( {4x} \right)}^2} + 2 \times 4x + {1^2}} \cr & = \sqrt {{{\left( {4x + 1} \right)}^2}} \cr & = \left( {4x + 1} \right){\text{ units}} \cr} $$