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minyulr minyulr
  • 26-05-2024
  • Mathematics
Answered

a trapezoid has 4 sides with all different lenghts. THe ratio of side lenths is 2:3:5:7 and the perimeter of the trapezoid is 255 centimeters. What is the lenght of the trapezoid's longest side

Verified Answer :

olumideolawoyin
olumideolawoyin olumideolawoyin
  • 26-05-2024

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

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