Question

the lengths of the four sides as a quadrilateral (in feet) are consecutive integers if the perimeter is 86 ft find the value of the longest of the four side lengths ​

Answer 1

Let x be the shortest side

Let x+1 be the second side

Let x+2 be the third side

Let x+3 be the fourth and longest side

$perimeter = s_{1} + s_{2} + s_{3} + s_{4} \\ 86 = x + (x + 1) + (x + 2) + (x + 3) \\ 86 = x + x + 1 + x + 2 + x + 3 \\ 86 = 4x + 6 \\ 4x = 80 \\ x = 20$

Shortest side is 20 cm

Longest side is x+3 so 20+3=23

Answer: 23