the area of a Trapezium shaped field is 480 metre square of the distance between two parallel sides is 15 I want to the parallel side is 20 find the other parallel side
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Answered by
1
let other side be x
Area=1/2*(sum of parallel sides)*ht
480=1/2*(20+x)*15
480/15=1/2*(20+x)
32/2=20+x
x=16-20
x=4
Area=1/2*(sum of parallel sides)*ht
480=1/2*(20+x)*15
480/15=1/2*(20+x)
32/2=20+x
x=16-20
x=4
Answered by
4
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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