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
?
(1 point)
Using the concept of similarity, we know that the corresponding sides of similar shapes are proportional.
In this case, the small quadrilateral has a side of 2 and its opposite side is 5. The big quadrilateral has a corresponding side that measures 3.6.
Therefore, we can set up the proportion:
2/5 = 3.6/x
Cross multiplying, we get:
2x = 5 * 3.6
2x = 18
Dividing both sides by 2, we find:
x = 9
Therefore, the value of x is 9.