Question

OPRobert made a design on his wall with the similar pentagon tiles shownR9 cm9 cmKMQs15 cm10 cm10 cm15 cmUT10 cmP15 cmNnot drawn to scaleWhat is the length of side RS?3 cm

Answer 1

Since they are simmilar we will then have the following relationships.

$\frac{15}{10}=\frac{9}{x}$

Now, we solve for x, as follows:

$x=\frac{9\cdot10}{15}\Rightarrow x=6$

The expression goes along the lines of. 15 is to 10 what 9 is to x, with this as was done we solve for x and determine it's value, that since they keep proportionality.