Question

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

Answer 1

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.

Answer 2

sum of parallel sides = perimeter - non parallel sides
= 104 - 18 - 22 = 64 m

area of trapezium = ½(sum of parallel sides)height
= ½*64*16
= 32*16
= 512 m²

therefore area of the trapezium is 512 m²

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