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The perimeter of a square is 80-64y units. Which expression can be used to show the side length of one side of the square?


A.16(5-4y) each side measures 5-4y units

b.16y(5-4) each side measures 5-4 units

c.4(20-16y) each side measures 20-16y units

d.4y(20-16) each side measures 20-16 units

Verified Answer :

swyw88
C

A square has 4 sides, the perimeter of a square is hence an addition of the length of the 4 sides. the answer (c) clearly shows it.

Answer:

Option C is correct

4(20-16y) each side measures 20-16y units

Step-by-step explanation:

The distributive property says that:

\(a \cdot(b+c) = a \cdot b+ a\cdot c\)

The perimeter(P) of a square is given by:

\(P = 4 \cdot (Side)\)           .....[1]

As per the statement:

The perimeter of a square is 80-64y units

we can write this as:

\(80-64y = 4 \cdot 20 - 4 \cdot 16y\)

Apply the distributive property we have;

\(80-64y = 4(20-16y)\)

⇒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

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