Question

the perimeter of an equilateral triangle is 9x +9.6. draw and label the side lengths of the triangle to represent the situation. then write qn expression to represent the perimeter as a sum. then write an expression to represent its perimeter as a product

Answer 1

The perimeter of an equilateral triangle is 9x+9.6,

The sides of the equilateral triangle can be determined as,

$\begin{gathered} a=\frac{9x+9.6}{3} \\ =3x+3.2 \end{gathered}$

The triangle can be drawn as,

The expression of perimeter of triangle as sum is,

$\begin{gathered} P=AB+BC+CA \\ =(3x+3.2)+(3x+3.2)+(3x+3.2) \end{gathered}$

The expression of perimeter of triangle as product is,

$\begin{gathered} P=3a \\ =3(3x+3.2) \end{gathered}$