the area of a trapezium shaped field is 480m^2, the distance between two parallel sides is 15m and one of the parallel side is 20m . find the other parallel side.
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Given :
⬤ Area of Trapezium is 480 m².
⬤ Distance between two Parallel Sides is 15 m.
⬤ One Parallel Side is 20 m
To Find :
⬤ Other Parallel Side .
Formula Used :
Solution :
- One Parallel Side is 20 m
Let :
- Second Parallel Side be x .
Now :
According to the Formula :
480 = ½ × (Sum of Parallel Sides) × Height
480 = 1/2 × (20 + x) × 15
480 × 2 = (20 + x) × 15
960 = 30 + 15x
960 - 300 = 15x
660 = 15x
660/15 = x
44 = x
Therefore , Second Parallel Side is 44 m .
Answered by
173
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The area of a trapezium shaped field is 480m^2, the distance between two parallel sides is 15m and one of the parallel side is 20m . find the other parallel side.
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Given:
- the area of a trapezium shaped field is 480 m²
- the distance between two parallel sides is 15 m
- one of the parallel side is 20m .
To find:
find the other parallel side.
Solution:
ABCD is a trapezium with parallel sides AB and CD
AB = 20 m and
Let the length of the other parallel side,CD be ' x ' m
- Area of the trapezium ( A ) = 480 m²
- Height of the trapezium ( h ) = 15 m
We know that ,
Where,
- AB + CD = sum of parallel sides
- h = height of the trapezium
ATQ,
Hence,
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