The perimeter of a trapezium is 104 m , its non- parallel sides are 18m and 22m and it's altitude is 16 m . Find the area of the trapezium
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Given:
Perimeter of Trapezium=104m
Non parallel sides are 22m and 18m
Let X and Y be the parallel sides of trapezium.
Altitude=16m
Perimeter of trapezium = X+Y+22+18
104=X+Y+40
X+Y=104-40
X+Y=64
Area of trapezium = 1/2 ( sum of parallel side)× altitude
=1/2 (X+Y)×16
=(1/2)64×16
=512 m^2
Therefore Area of Trapezium is 512m^2.
Perimeter of Trapezium=104m
Non parallel sides are 22m and 18m
Let X and Y be the parallel sides of trapezium.
Altitude=16m
Perimeter of trapezium = X+Y+22+18
104=X+Y+40
X+Y=104-40
X+Y=64
Area of trapezium = 1/2 ( sum of parallel side)× altitude
=1/2 (X+Y)×16
=(1/2)64×16
=512 m^2
Therefore Area of Trapezium is 512m^2.
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