Question

the diagram shows the plans for the triangular park. what is the perimeter of the park?
the perimeter is $\boldsymbol{x^2 + }$ $\boldsymbol{x - (}$ $\boldsymbol{)}$ feet.
the side lengths of the triangle are: $(12x)$ ft, $(15x + 4)$ ft, $(10x + 3x^2 - 8)$ ft

Explanation:

Step1: Sum all side lengths

$\text{Perimeter} = 12x + (15x + 4) + (10x + 3x^2 - 8)$

Step2: Group like terms

$\text{Perimeter} = 3x^2 + (12x + 15x + 10x) + (4 - 8)$

Step3: Simplify each term group

$\text{Perimeter} = 3x^2 + 37x - 4$

Answer:

The perimeter is $\boldsymbol{3x^2 + 37x - 4}$ feet.