Question

Hector is building a metal sculpture in the shape of an equilateral triangle. After he divides ametal bar into 3 equal pieces, Hector figures each side of the triangular sculpture can be atmost 9 feet long.Let x represent the perimeter of the triangular sculpture. Which inequality describes theproblem?

Answer 1

One of the properties of an equilateral triangle is that all the sides are equal

From the statement given, each of the lengths of the triangle is at most 9 feet long means that each of the lengths is less than or equal to 9 feet

This can be represented mathematically as

$\begin{gathered} l\leq9ft \\ \text{Where l is the length} \end{gathered}$

The perimeter of an equilateral triangle is the addition of the three equal lengths i.e.

$l+l+l=\text{ 3l}$

If x represents the perimeter, then