The polygons are similar. Find the value of x.
bigger polygon has x, 16, and 20
smaller has 15,12, and 18
12/16 = 3/4
18/20 ≠ 3/4
so they are not similar.
To find the value of x, we can use the property of similar polygons that states corresponding sides are proportional.
To make the calculation easier, let's set up a proportion by comparing the corresponding sides of the two polygons.
For the larger polygon:
x / 15 = 16 / 12
And for the smaller polygon:
20 / 12 = 18 / 15
Now we can cross-multiply and solve for x:
x * 12 = 15 * 16
x * 12 = 240
x = 240 / 12
x = 20
Therefore, the value of x is 20.
16:20 = 12:15 ... the larger sides are 4/3 times the smaller sides
x = 4/3 * 18