The area of a trapezium is 35 cm² and the distance between its parallel sides is 16 cm. if one of the parallel is of length 25 cm, find the length of the other.

No solution

Step-by-step explanation:

A = (b1 + b2) h/2

A = 35 cm²

h = 16 cm

b1 = 25 cm

b2 = ?

35 = (25 + b2) (16) / 2

70 = (25 + b2) (16)

70 = 400 + 16b2

16b2 = 330

b2 = 330/16 = - 20.625

The answer is a negative number. Since the base of a trapezium cannot have a negative length, there does not exist a trapezium with the given information.