Question

The perimeter of an equilateral triangle is 6n - 15. Write an expression to represent the length of each side.

Answer 1

Start by sketching an equilateral triangle, and name each side as "x"

The perimeter is the sum of all the sides of a figure, then,

$\begin{gathered} P=x+x+x \\ P=3x \end{gathered}$

equal the expression found to the perimeter given,

$3x=6n-15$

solve the expression for x,

$\begin{gathered} x=\frac{6n-15}{3} \\ x=\frac{6n}{3}-\frac{15}{3} \\ x=2n-5 \end{gathered}$

Answer:

The expression that represents the length of each side is 2n-5