Question

the diagram shows the plans for the triangular park. what is the perimeter of the park? the perimeter is x^{2}+ x-( ) feet. (12x) ft (10x + 3x^{2}- 8) ft (15x + 4) ft

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of the lengths of its sides. So $P=(12x)+(10x + 3x^{2}-8)+(15x + 4)$.

Step2: Combine like - terms

First, combine the $x^{2}$ terms. There is only one $x^{2}$ term, which is $3x^{2}$. Then combine the $x$ terms: $12x+10x + 15x=(12 + 10+15)x=37x$. Finally, combine the constant terms: $-8 + 4=-4$.
So $P=3x^{2}+37x-4$.

Answer:

$3$; $37$; $4$