Question

what is the distance between the parallel sides of a trapezium whose area is 175sq. m and sum of Parallel sides are 35m.​

Answer 1

Step-by-step explanation:

Let the lengths of the parallel sides of the trapezium be 3acm and 4acm. Let the height of the trapezium or the distance between them be 2acm.

Area of a trapezium =

2

1

×(Sumofparallelsides)×height

=>

2

1

×(3a+4a)×2a=175cm

2

=>

2

1

×7a×2a=175

a

2

=25

=>a=5

Hence, the height of the trapezium =2a=10cm