Question

find the perimeter. simplify your answer. the figure is a parallelogram with side lengths 4u - 5 and 9u + 1 (each pair of opposite sides is equal).

Explanation:

Step1: Identify side lengths

The parallelogram has two pairs of equal sides: $4u - 5$ (two sides) and $9u + 1$ (two sides).

Step2: Calculate perimeter

Perimeter = $2(4u - 5) + 2(9u + 1)$

Step3: Expand the expression

$= 8u - 10 + 18u + 2$

Step4: Combine like terms

$= (8u + 18u) + (-10 + 2) = 26u - 8$

Answer:

26u - 8