Question

find the perimeter. simplify your answer.
5w+8
4w-5
4w-2
7w+1

Explanation:

Step1: Recall perimeter formula for quadrilateral

Perimeter of a quadrilateral is the sum of all its side lengths. So we add the four sides: \((5w + 8)+(4w - 2)+(7w + 1)+(4w - 5)\)

Step2: Combine like terms

First, combine the \(w\) terms: \(5w+4w + 7w+4w=20w\)
Then, combine the constant terms: \(8-2 + 1-5=2\)

Step3: Form the simplified expression

Adding the results from Step 2, we get \(20w + 2\)

Answer:

\(20w + 2\)