Question

What is the length of x
in decimal form to the nearest hundredth
shape one side lengthes 11.4 and 18
shape two side lengthes x and 23.4

Answer 1

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:

\[
\boxed{14.88}
\]