Question

w.5 add polynomials to find perimeter 8as find the perimeter. simplify your answer.

Explanation:

Step1: Recall perimeter formula for parallelogram

A parallelogram has two pairs of equal sides. So perimeter \( P = 2\times(\text{side}_1 + \text{side}_2) \). Here, sides are \( 4t - 2 \) and \( 5t - 2 \).

Step2: Substitute into perimeter formula

\( P = 2(4t - 2) + 2(5t - 2) \)

Step3: Distribute the 2

\( P = 8t - 4 + 10t - 4 \)

Step4: Combine like terms

\( P = (8t + 10t) + (-4 - 4) = 18t - 8 \)

Answer:

\( 18t - 8 \)