Question

Rohan wants a field in the shape of trapezium . its side along the pond is parallel to and double the side along the road .Area of the field is 10200sqm.What is the length of the side along the river?

plss answer, will mark u the brainlliast​

Answer 1

The length of side along the river is 68 m

Explanation:

Area of trapezium = 10200 m²

Length of side along the road (a) = x

Length of side along the river (b) = 2x

Height = 200 m

We need to find Length of side along the river.

The formula used is:
`Area\: of\: trapezium=(a+b)/(2)* h`

Putting values and finding length:

`Area\: of\: trapezium=(a+b)/(2)* h\\10200=(2x+x)/(2)* 200\\10200=2x+2* 100\\(10200)/(100) =2x+2\\102=3x\\x=(102)/(3)\\x=34`

So, Value of x = 34

Length of side along the road (a) = x = 34

Length of side along the river (b) = 2x = 2(34) = 68

So, the length of side along the river is 68 m