figure 1 is 11.4 in and 18 in

figure 2 is x and 23.4 in
what is the length of x in decimal form to the nearest hundredth?

To find the length of figure 2 (x) in decimal form to the nearest hundredth, we can set up the following proportion:

18 in / 11.4 in = 23.4 in / x

Cross-multiplying, we have:

18 in * x = 11.4 in * 23.4 in

Simplifying the right side of the equation:

414.8 in^2 = 11.4 in * x

Dividing both sides by 11.4 in:

414.8 in^2 / 11.4 in = x

This gives us:

36.4211 in = x

Rounded to the nearest hundredth, the length of x is approximately 36.42 in.