Question

If ABCD and AEFG are mathematically similar trapeziums with

AE=5 cm,EF=12 cm, and BC=18 cm, what is the length of AB?
A. 5 cm
B. 7.5 cm
C. 9 cm
D. 12 cm

Answer 1

To find the length of AB, set up a proportion using the corresponding sides of the similar trapeziums. AB = (12 * 18)/5 = 43.2 cm.

Step-by-step explanation:

To find the length of AB, we can set up a proportion using the corresponding sides of the similar trapeziums.

Since ABCD and AEFG are similar, we have:

AB/EF = BC/EG

AB/12 = 18/5

Cross multiplying, we get AB = (12 * 18)/5 = 43.2 cm

Therefore, the length of AB is 43.2 cm.