Polygons 1's measurements, x-3,8,16
Polygons 2's measurements, 2.5, 2,4
The Polygons are similar, but not necessarily drawn to scale. Find the value of x
To determine the value of x, we can use the concept of corresponding sides of similar polygons.
Since the polygons are similar, we can set up a proportion using the corresponding sides:
(x-3) / 2.5 = 8 / 2
Cross-multiplying gives us:
2(8) = 2.5(x-3)
16 = 2.5x - 7.5
Adding 7.5 to both sides gives:
23.5 = 2.5x
Dividing both sides by 2.5 gives:
x = 23.5 / 2.5
x = 9.4
Therefore, the value of x is 9.4.