The area of a trapezium shaped field is 1785 square feet. The distance between the two parallel sides is 35 feet and one of the parallel sides is 42 feet long. What is the length of the other parallel side?

60 feet

We know that,

Area of a trapezium = \(\frac{1}{2}\) x height x (side1 + side2)

Given=

Area = 1785 sq feet

Distance between the two parallel sides (height) = 35 feet

Length of one of the parallel sides = 42 feet

So,

1785 =  \(\frac{1}{2}\) x 35 x (42 + x)

102 = 42 + x

x = 102 - 42

x = 60