Question

The lengths of the three sides of a triangle (in feet) are consecutive even integers. If
the perimeter is 96 feet, find the value of the shortest of the three side lengths.

Answer 1

Answer is 30 is the shortest side

Step by step

We know x is one side, even consecutive integers means add 2 for the next even number and add 4 for the next even number.

Our equation looks like this

(X) + (x + 2) + (x + 4) = 96

Solve for x

3x + 6 = 96

Subtract 6 from both sides to isolate x

3x + 6 - 6 = 96 - 6

3x = 90

Divide both sides by 3 to solve for x

3/3 x = 90/3

x = 30

So one side is x = 30
One side is x + 2 = 32
One side is x + 4 = 34

Add them together and the total is 96

Problem solved!!