Question

the diagram shows the plans for the triangular park. what is the perimeter of the park? the perimeter is x^{2}+ x-( ) feet

Explanation:

Step1: Recall perimeter formula

Perimeter of a triangle is sum of side - lengths.

Step2: Add the side - lengths

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

Step3: Combine like - terms

First, group the \(x^{2}\) terms, \(x\) terms, and constant terms.
The \(x^{2}\) term is \(3x^{2}\), the \(x\) terms are \(12x+10x + 15x=37x\), and the constant terms are \(-8 + 4=-4\).
So, \(P = 3x^{2}+37x-4\).

Answer:

The perimeter is \(3x^{2}+37x-(4)\) feet. So the blanks should be filled with \(3\), \(37\), and \(4\) respectively.