Use the image to answer the 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 ?
To find the value of x, we can set up a proportion between the corresponding sides of the two quadrilaterals.
In the small quadrilateral, the side measured 2 corresponds to the side measured 3.6 in the big quadrilateral.
Therefore, we can set up the proportion: 2/5 = 3.6/x.
Cross-multiplying, we get: 2x = 5 * 3.6.
Solving for x, we have: x = (5 * 3.6) / 2.
Evaluating this expression, x = 9.
Therefore, the value of x is 9.