Problem to Find Measurement of Geometrical Figures

Topic : Trapezium

Question : The area of a trapezium shaped field is 960 m^2 , the distance between two parallel sides is 10 m and one of the parallel side is 40m. Find the other parallel side.

Solution :
One of the parallel side a = 40 m, let another parallel side be x, distance between sides (h) = 10 m
The given area of trapezium = 960m^2.
Area of a trapezium = ½ h (a + b)
so 960 = ½ h (a + b) = ½ x 10 x (40 + x)
or 960 = 5( 40 + x)
or 960/5 = 40 + x
or 192 = 40 + x
or 192 – 40 = x
x = 152 m
the other parallel side of the trapezium is 152 m.