Question

the area of a Trapezium is 180 cm square and its parallel sides are in the ratio 1 ratio 2 and the distance between them is 12 cm find the length of the each of the parallel sides ​

Answer 1

Answer:

The length of the parallel sides: 10cm and 20cm

Step-by-step explanation:

Area of trapezium given by: 1/2*h*(sum of parallel sides)

Let the parallel sides be a and b

Let a=x

Then, b=2x

Substituting in the formula, we get:

180=1/2*12*(x+2x)

30=(3x)

x=30/3=10cm

a=x, therefore a=10cm

b=2x, therefore b=2*10=20cm

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Answer 2

Step-by-step explanation:

area of a trapezium is 1/2×(sum of parallel side)×height

let the parallel side be x and 2x

then,

1/2×(x+2x)×12=3x×6=18x

but area of a trapezium is 180 cm square

18x=180cm square

x=180/18=10 cm

x=10cm

2x=2×10=20cm

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