The area of a trapezium field is 240 sq m. The distance between two parallel sides is 12 m and one of the parallel side is 10 m. Find the other parallel side.​

Answer

Let ABCD be a trapezium with parallel sides AB and CD

Let AB=20 ....... (Given) and CD=x

A(□ABCD)=480 m

2

,height(h)=15 m .......... (Given)

We know that, A(□ABCD)=

2

(AB+CD)

×h

⟹480=

2

20+x

×15

⟹

15

2×480

=20+x

⟹64=20+x

⟹x=44

Hence, length of other parallel side CD is 44 m.