Math, asked by nishant2863, 11 months ago

The area of trapezium is 480cm and the distance between parallel side is 15cm and one paralel side is 20 . find other parallel side​

Answers

Answered by priya92377
9

Step-by-step explanation:

first parallel Side = 20

second parallel Side = ?

height of parallel side= 15

Area of trapezium = 480

480= 1/2(a+b)h

480=1/2(20+b)15

480/15(2)=(20+b)

64=20+b

64-20=b

44=b

so, the second parallel side is 44

Answered by KingSrikar
5

Given Data :

  • Area of Trapezium Shaped Field = 480 m²
  • Distance Between Two Parallel Sides = 15 m
  • One of the Parallel Side = 20 m

To Find : Measure of Other Parallel Side in the Trapezium

Answer : Measure of Other Parallel Side = 44 m

Step By Step Solution :

➤ Let Other Parallel Side be x

  • Area of Trapezium Shaped Field = 480 m²
  • 1/2 × Sum of Parallel Sides × Distance Between Them = 480 m²
  • 1/2 × Sum of Parallel Sides × 15 m = 480 m²
  • 1/2 × (20 m + x) × 15 m = 480 m²
  • [1/2 × (20 m + x) × 15 m]/15 m = 480 m²/15 m
  • 1/2 × (20 m + x) = 32 m
  • 1/2 × (20 m) + 1/2 × (x) = 32 m
  • 10 m + (x/2) = 32 m
  • x/2 = 32 m - 10 m ⇒ x/2 = 22 m ⇒ x = 22 × 2 m ⇒ x = 44 m
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