SOLUTION: The lengths of the four sides of a quadrilateral (in feet) are consecutive integers. If the perimeter is 6666 feet, find the value of the longest of the four side lengths.

Algebra ->  Equations -> SOLUTION: The lengths of the four sides of a quadrilateral (in feet) are consecutive integers. If the perimeter is 6666 feet, find the value of the longest of the four side lengths.       Log On


   

Question 1208120: The lengths of the four sides of a quadrilateral (in feet) are consecutive integers. If the perimeter is 6666 feet, find the value of the longest of the four side lengths.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, the first of these consecutive integers

x%2B%28x%2B1%29%2B%28x%2B2%29%2B%28x%2B3%29=6666
.
.
OR, if y is the LONGEST of these then
y%2B%28y-1%29%2B%28y-2%29%2B%28y-3%29=6666
.
.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The other tutor showed a typical formal algebraic solution. Informally, the problem can be solved quickly and easily.

Four consecutive integers are nearly the same as four of the same number. So

6666/4 = 1666.5

The four consecutive integers are the four integers closest to 1666.5 -- 1665, 1666, 1667, and 1668.

ANSWER: the length of the longest side is 1668 feet