Question

hector is building a metal sculpture in the shape of an equilateral triangle. after he divides a metal bar into 3 equal pieces, hector figures each side of the triangular sculpture can be at most 9 feet long. let x represent the perimeter of the triangular sculpture. which inequality describes the problem? \\(\frac{x}{3} \leq 9\\) \\(\frac{x}{3} < 9\\) solve the inequality. then, complete the sentence to describe the solution. the perimeter of the triangular sculpture can be at most \\(\boxed{}\\) feet. submit

Explanation:

Step1: Select correct inequality

Each side is $\frac{x}{3}$, max 9 ft. So $\frac{x}{3} \leq 9$

Step2: Solve the inequality

Multiply both sides by 3: $x \leq 9 \times 3$
$x \leq 27$

Answer:

The correct inequality is $\frac{x}{3} \leq 9$
The perimeter of the triangular sculpture can be at most 27 feet.