Question

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.​

Answer 1

No solution

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.