Question

The ratio of the length of the parallel sides of a trapezium is 3:2 .The shortest distance between them is 15cm .If the area of the trapezium is 450cm2, what is the sum of the lengths of the parallel sides

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Answer 1

17:4

Step-by-step explanation:

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Answer 2

QUESTION :

The ratio of the length of the parallel sides of a trapezium is 3:2 .The shortest distance between them is 15cm .If the area of the trapezium is 450cm2, what is the sum of the lengths of the parallel side.

ANSWER :

Let the lengths of parallel sides an 3x and 2x.

We know that,

Area of trapezium = 1212 (Sum of the parallel sides)×Distance between them(Sum of the parallel sides)×Distance between them

1/2(3x+2x)15==450

=>75x=900

x=900/75=12 cm

Sum of the parallel sides = (3x + 2x)

= 5x = 5×12

=60 cm

FINAL ANSWER : 60cm