amritasamal525
amritasamal525 amritasamal525
  • 31-01-2021
  • Mathematics
contestada

the area of a trapezium is 240 cm² 97 the parallel side is 24 and 36 cm long find the distance between them.​

Respuesta :

jimthompson5910 jimthompson5910
  • 31-01-2021

Answer:  8 cm

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Work Shown:

  • A = given area = 240 square cm
  • b1 = one parallel base = 24 cm
  • b2 = the other parallel base = 36 cm
  • h = unknown height

Let's solve for h in the formula below

A = 0.5*h*(b1+b2)

240 = 0.5*h*(24+36)

240 = 0.5*60*h

240 = 30h

30h = 240

h = 240/30

h = 8

The height of the trapezium is 8 cm. This is the distance between the two parallel sides.

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