One base of a trapezoid is twice as long as the other.the length of the shorter base is 9 cm and its height is 5 cm. What is its area?

[(9 + 18) / 2] * 5 = ______ sq. cm.

16

To find the area of a trapezoid, you need to multiply the average length of the two bases by the height.

In this case, you are given that the shorter base is 9 cm long and the longer base is twice as long. Therefore, the longer base can be calculated as 2 * 9 cm = 18 cm.

Now, let's calculate the average length by adding the two bases and dividing by 2: (9 cm + 18 cm) / 2 = 27 cm / 2 = 13.5 cm.

Finally, you can multiply the average length by the height: 13.5 cm * 5 cm = 67.5 cm².

Therefore, the area of the trapezoid is 67.5 square cm.

The height of the trapezoid is half the length of the shorter base, and the longer base is twice the length

of the shorter base what are the lengths of the height and the longer base?