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)
Skip to navigation

To find the value of x, we can set up a proportion based on the corresponding sides of the two quadrilaterals:

2/5 = 3.6/x

To solve for x, we can cross-multiply:

2x = 5 * 3.6

2x = 18

Divide both sides by 2 to isolate x:

x = 18 / 2

x = 9

Therefore, the value of x is 9.