Question

geometry find the possible values of x. the perimeter is less than 28 feet. the possible values of x are

Explanation:

Step1: Write the perimeter inequality

The perimeter \(P\) of the triangle is \(P = 7.5+7.5 + x\). Since \(P<28\), we have \(7.5 + 7.5+x<28\).

Step2: Simplify the left - hand side of the inequality

First, \(7.5+7.5 = 15\). So the inequality becomes \(15 + x<28\).

Step3: Solve for \(x\)

Subtract \(15\) from both sides of the inequality: \(x<28 - 15\).

Answer:

\(x<13\)