Question

find the two parallel sides of a Trapezium whose area is 1.6m², altitude is 10dm and one of the parallel sides is longer than the other by 8dm . find the answer in dm.​

Answer 1

Answer:

Let the lengths of the parallel sides of the trapezium be 3a dm and 4a dm

Area of a trapezium =

2

1

×(Sumofparallelsides)×height

=>

2

1

×(3a+4a)×9dm=126dm

2

=>

2

1

×7a×9=126

=>a=4

Hence, the lengths of the parallel sides of the trapezium are 3a=12dm and 4a=16dm