Use the image to answer the question.

Question

An illustration shows two quadrilaterals, one big and one small. In the small quadrilateral, one side measures 2 and its opposite side measures 5. In the big quadrilateral, the side corresponding to 2 in the small quadrilateral measures 3.6 and the side corresponding to 5 measures x.

The two quadrilaterals are similar. What is the value of x?

Answer 1

Since the two quadrilaterals are similar, the corresponding sides are proportional. We can set up a proportion to solve for x:

2/5 = 3.6/x

Cross multiplying, we get:

2x = 5(3.6)
2x = 18
x = 9

Therefore, the value of x is 9.