Question

What is the length of x in decimal form to nearest hundredth. Figure 1 11.4 and 18. Figure 2 x and 23.4

Answer 1

To find the length of \( x \) in decimal form to the nearest hundredth, we can set up a proportion based on the information given in Figure 1 (11.4 and 18) and Figure 2 (x and 23.4).

The relationship can be expressed as:

\[
\frac{11.4}{18} = \frac{x}{23.4}
\]

Now, we can cross-multiply to solve for \( x \):

\[
11.4 \cdot 23.4 = 18 \cdot x
\]

Calculating \( 11.4 \cdot 23.4 \):

\[
11.4 \cdot 23.4 = 267.96
\]

Now we have:

\[
267.96 = 18 \cdot x
\]

To find \( x \), divide both sides by 18:

\[
x = \frac{267.96}{18}
\]

Calculating the division:

\[
x \approx 14.8888888889 \quad \text{(continuing)}
\]

Rounding to the nearest hundredth:

\[
x \approx 14.89
\]

Thus, the length of \( x \) in decimal form to the nearest hundredth is **14.89**.