A trapezium has two parallel sides of length 5cm and 9cm. If the area is 21cm2, find the distance between the parallel sides
Answer Details
The area of a trapezium is given by the formula A = (1/2)(a+b)h, where a and b are the lengths of the parallel sides, and h is the perpendicular distance between them.
In this question, we are given that the parallel sides have lengths 5cm and 9cm, and the area is 21cm^2. We can plug these values into the formula and solve for h:
21 = (1/2)(5+9)h
21 = (1/2)(14)h
21 = 7h
h = 3
Therefore, the distance between the parallel sides is 3cm.
So the answer is option A: 3cm.