Answer:
Option C is correct
4(20-16y) each side measures 20-16y units
Step-by-step explanation:
The distributive property says that:
![a \cdot(b+c) = a \cdot b+ a\cdot c](https://tex.z-dn.net/?f=a%20%5Ccdot%28b%2Bc%29%20%3D%20a%20%5Ccdot%20b%2B%20a%5Ccdot%20c)
The perimeter(P) of a square is given by:
.....[1]
As per the statement:
The perimeter of a square is 80-64y units
we can write this as:
![80-64y = 4 \cdot 20 - 4 \cdot 16y](https://tex.z-dn.net/?f=80-64y%20%3D%204%20%5Ccdot%2020%20-%204%20%5Ccdot%2016y)
Apply the distributive property we have;
![80-64y = 4(20-16y)](https://tex.z-dn.net/?f=80-64y%20%3D%204%2820-16y%29)
⇒P = 4(20-16y)
On comparing with [1] we have;
Each Side length = 20-16y units
Therefore, an expression can be used to show the side length of one side of the square is, 4(20-16y) each side measures 20-16y units