Question

perimeter of the trapezium is 104 the non parallel side are 18 and 22 height is 16 find area​

Answer 1

Answer:

512m^2.

Step-by-step explanation:

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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Answer 2

Answer:

Perimeter = Sum of all sides

Let both ll sides be x and y

104 = 18+22+x+y

104-40 =x+y

x+y = 64

Area of trap. = 1/2×(sum of ll sides) × height

area = 1/2× (x+y) × 16

area = (x+y)8

area = 64 × 8

area = 512 unit²

So area or trapezium is 512 unit².