Answer:
Perimeter = (16z - 2)
Step-by-step explanation:
Perimeter of a polygon = sum of the lengths of all sides of the polygon
Sum of all sides of the trapezoid = (z + 5) + (8z - 10) + (4z + 9) + (3z - 6)
By adding like terms,
Perimeter of the trapezoid = ( z + 8z + 4z + 3z) + (5 - 10 + 9 - 6)
= 16z - 2
Therefore, expression representing the perimeter of the trapezoid will be,
(16z - 2)
