Question

what is the expression for the perimeter of this rectangle?

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a rectangle is $P = 2l+2w$, where $l$ is the length and $w$ is the width.

Step2: Identify length and width

Let the length $l=t^{2}+5t + 8$ and the width $w=t^{2}-4$.

Step3: Substitute into formula

Substitute $l$ and $w$ into the perimeter formula: $P = 2(t^{2}+5t + 8)+2(t^{2}-4)$.

Answer:

$2(t^{2}+5t + 8)+2(t^{2}-4)$