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 use the property of similar figures that corresponding sides are proportional.
We are given that the side of the smaller quadrilateral measures 2 and its opposite side measures 5. In the larger quadrilateral, the corresponding side measures 3.6.
Let's set up a proportion to solve for x:
2/5 = 3.6/x
Cross multiplying, we get:
2x = 3.6*5
2x = 18
x = 18/2
x = 9
Therefore, the value of x is 9.