Question

The two quadrilaterals are similar. What is the value of x
shape one sides 2 and 5
shape two 3.6 and x

Answer 1

To find the value of \( x \) in the similar quadrilaterals, we can use the property of similar shapes that states that the ratios of corresponding sides are equal.

Given:

- For Shape 1, one of the sides is \( 2 \) and another is \( 5 \).
- For Shape 2, the corresponding sides are \( 3.6 \) and \( x \).

Since the shapes are similar, we can set up a proportion:

\[
\frac{2}{3.6} = \frac{5}{x}
\]

Now, let's solve for \( x \).

First, we can simplify the left side:

\[
\frac{2}{3.6} = \frac{2 \div 2}{3.6 \div 2} = \frac{1}{1.8} = \frac{5}{x}
\]

Now cross-multiply:

\[
1 \cdot x = 5 \cdot 1.8
\]

This simplifies to:

\[
x = 5 \cdot 1.8
\]
\[
x = 9
\]

So, the value of \( x \) is \( 9 \).