Answer:
105cm
Step-by-step explanation:
The ratio of side lengths of a trapezoid is 2:3:5:7
Total ratio = 2 + 3 + 5 + 7 = 17
The perimeter of the trapezoid = 255 cm
Therefore, the length of the longest side of the trapezoid = biggest ratio / total ratio × 255
= 7 / 17 × 255
= 7 × 15
= 105cm