Question

find the perimeter. simplify your answer.
2u+4
7u-6
7u-6
2u+4

Explanation:

Step1: Recall perimeter of parallelogram

A parallelogram has two pairs of equal sides. So perimeter \( P = 2\times(\text{length} + \text{width}) \). Here, sides are \( 2u + 4 \) and \( 7u - 6 \).

Step2: Apply perimeter formula

\( P = 2(2u + 4) + 2(7u - 6) \)
Expand the terms: \( 2\times2u + 2\times4 + 2\times7u - 2\times6 \)
Which is \( 4u + 8 + 14u - 12 \)

Step3: Combine like terms

Combine \( 4u \) and \( 14u \), \( 8 \) and \( -12 \): \( (4u + 14u) + (8 - 12) = 18u - 4 \)

Answer:

\( 18u - 4 \)