Question

Write an expression that represents the perimeter of a trapezoid with side lengths z+5,8z-10, 4z+9, and 3z-6

Answer 1

Perimeter = (16z - 2)

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)