Question

the area of a Trapezium is 850 square centimetre one of the parallel sides is 64 cm and the perpendicular distance between the parallel side is 17 cm find the length of other parallel sides

Answer 1

Let the length of other parallel side be x.
Area of trapezium=1/2(Sum of parallel sides)*height
Area of trapezium given=850sq.cm
A.T.O.
1/2(64+x)*17=850
(64+x)*8.5=850
544.0+8.5x=850
8.5x=850-544
8.5x=306
x=306/1/85/10
x=3060/85
x=36cm
Hence, other parallel side of trapezium = 36cm

Answer 2

area = 1/2 h (a+b)
850 = 1/2 * 17 (a+64)
850 * 2/17 = a + 64
50*2 = a+64
100 - 64 = a

therefore,
a= 36