Question

A triangle has a perimeter of 72 units, and two of its sides measure x units and 3x units, respectively. Which inequality represents all possible values of x?

Answer 1

Answer:

$x$

Step-by-step explanation:

Given: Perimeter of triangle= 72 units

          Measure of one of the side= x units

          Measure of second side = 3x units

We know the perimeter of triangle is equal to sum of all sides.

Now, finding the possible value of x

forming an inequality to determine the value of x

Remember triangle has three sides, however, measure of only two sides are given.  

⇒ $x+3x < 72\ units$

⇒ $4x$

Dividing both side by 4

⇒ $x < 18$

∴ The inequality to represents all possible values of x is $x < 18$