Question

The rectangles shown are similar. What is the value of x?
left side x bottom is 18
smaller rectangle is 4 and 6
Please Help Thank you :)

Answer 1

Since the rectangles are similar. The ratio of their sides will be the same.

So, we can write:

$x:18 = 4:6 \\ \\ \frac{x}{18}= \frac{4}{6} \\ \\ x = \frac{4}{6} * 18 = 12$

Therefore, the left side of the bigger rectangle will be 12 units in length.