Question

find the perimeter.
$3s^2 + 8s - 12$
$16s^2 - 4s + 15$
$s - 7$
what is the perimeter?
(simplify your answer.)

Explanation:

Step1: Recall perimeter of triangle

Perimeter of a triangle is the sum of its three sides. So, we add the three given expressions: \((3s^2 + 8s - 12)+(16s^2 - 4s + 15)+(s - 7)\).

Step2: Combine like terms for \(s^2\)

Add the coefficients of \(s^2\): \(3s^2+16s^2 = 19s^2\).

Step3: Combine like terms for \(s\)

Add the coefficients of \(s\): \(8s-4s + s=5s\).

Step4: Combine constant terms

Add the constant terms: \(-12 + 15-7=-4\).

Step5: Write the simplified expression

Combine all the terms: \(19s^2+5s - 4\).

Answer:

\(19s^2 + 5s - 4\)