The polygons below are similar. Find the value of y.
12
16
Guess: 16

Answer:
4.5
Step-by-step explanation:
In similar polygons, the ratios of corresponding sides is equal.
The only two corresponding sides we have measurements for are BC, with a measure of 8, and FG, with a measure of 6. This makes their ratio 8/6.
The other half of the proportion will be comparing AB, with a measure of 6, to EF, with a measure of y:
8/6= 6/y
Cross multiply:
8(y) = 6(6)
8y = 36
Divide both sides by 8:
8y/8 = 36/8
y = 4.5