Question

find the perimeter. simplify your answer.
5p + 6
7p + 2
3p - 4
10p + 6
submit

Explanation:

Step1: Recall the formula for perimeter

The perimeter \(P\) of a polygon is the sum of the lengths of its sides. So, \(P=(5p + 6)+(7p+2)+(3p - 4)+(10p+6)\).

Step2: Remove the parentheses

Using the property \(a+(b + c)=a + b + c\), we get \(P = 5p+6+7p + 2+3p-4+10p+6\).

Step3: Combine like - terms

For the \(p\) terms: \(5p+7p+3p+10p=(5 + 7+3 + 10)p=25p\).
For the constant terms: \(6 + 2-4+6=(6+2+6)-4=14 - 4 = 10\).

Answer:

\(25p + 10\)