To find the length of \( x \) in the two shapes you described, we can assume that these shapes form a proportion based on their side lengths. Given that one shape has side lengths 11.4 and 18, and the other has side lengths \( x \) and 23.4, we can set up a proportion as follows:
\[ \frac{11.4}{18} = \frac{x}{23.4} \]
Now, we can cross-multiply to solve for \( x \):
\[ 11.4 \times 23.4 = 18 \times x \]
Calculating \( 11.4 \times 23.4 \):
\[ 11.4 \times 23.4 = 267.96 \]
So, we have:
\[ 267.96 = 18x \]
Now, divide both sides by 18 to solve for \( x \):
\[ x = \frac{267.96}{18} \]
Calculating \( x \):
\[ x = 14.88 \]
Thus, the length of \( x \) in decimal form to the nearest hundredth is:
\[ \boxed{14.88} \]
1 answer