Question

The polygons are similar. Find the value of each variable. x= y=

Answer 1

Answer:

x = 24

y = 7

Step-by-step explanation:

Using the ratios of the corresponding sides, the variables can be solved:

For x:

$\frac{48}{50}=\frac{x}{25} \\\frac{24}{25}=\frac{x}{25}\\x=\frac{24}{25}*25\\x=24$

For y:

$\frac{14}{50}=\frac{y}{25} \\\frac{14}{25}=\frac{y}{25}\\y=\frac{7}{25}*25\\y=7$

Answer 2

Just  use proportions for the "corresponding sides" in each

$\bf \cfrac{smaller\ side}{bigger\ side}\qquad \cfrac{25}{50}=\cfrac{x}{48}\qquad \qquad \cfrac{25}{50}=\cfrac{y}{14}$

then just solve for "x" and "y" respectively