Question

geometry find the possible values of x. the perimeter is less than or equal to 51 meters. the possible values of x are

Explanation:

Step1: Calculate the perimeter expression

The perimeter \( P \) of the figure is \( P=8 + 10+x + 10+8\). Simplify it: \(P=x + 36\).

Step2: Set up the inequality

Since the perimeter is less than or equal to \(51\) meters, we have the inequality \(x + 36\leqslant51\).

Step3: Solve the inequality

Subtract \(36\) from both sides of the inequality: \(x+36 - 36\leqslant51 - 36\). So \(x\leqslant15\). Also, since \(x\) represents a length, \(x>0\).

Answer:

\(0 < x\leqslant15\)