Answered

the area of trapezium shaped field is 480 meter square . the height is 15m n one of the parallel side is 20m, find the other parallel side

Answer :

Sushanth
given,
area of trapezium=480 meter square
 we know area of trapezium=ab/2

a=20,b=?
480=20*b/2

b=48

therefore the other parllel side is 48 meters

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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