Question

The area of a trapezium is 1900 sq.m. if one of its parallel sides is 50m and its height is 50m. what is
the length of the other parallel side?

Answer 1

Step-by-step explanation:

Area of trapezium = 1900 sq cm

One of its parallel sides=50 m

Another parallel side be =?

Height of trapezium = 50 m

length of other parallel side be = b

Area of trapezium = 1/2 x h x ( a + b )

where a and b are parallel sides

1900 = 1/2 x 50 x ( 50 + b)

1900 = 50/2 x ( 50 + b )

1900 = 25 x ( 50 + b )

1900 / 25 = 50 + b

76 = 50 + b

76 - 50 = b

26 = b

b = 26 m

Length of another parallel side = 26 m

Verification

1900 = 1/2 x 50 x (50 + 26)

1900 = 50/2 x 76

1900 = 50 x 38

1900 = 1900

Length of another parallel side = 26 m