Question

the perimeter of a trapezium is 104 m and a parallel sides are 18 m and 22 m and its altitude is 16 m find the area of trapezium

Answer 1

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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.


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