Chapter 8.1, Problem 66PFA

To determine

To find the perimeter of an equilateral triangle.

Answer to Problem 66PFA

Perimeter: $9x^2+15x+36$

Explanation of Solution

Given:

  

Formula used:

Perimeter of an equilateral triangle is 3a if a is the side of the equilateral triangle.

Calculation:

From the given figure,

The side of an equilateral triangle is $3x^2+5x+12$

Applying the perimeter of an equilateral triangle,

  $\begin{array}{l}\Rightarrow 3(3x^2+5x+12)\\ \Rightarrow 9x^2+15x+36\end{array}$

Conclusion:

The equilateral triangle has a perimeter of $9x^2+15x+36.$