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 answer

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.