Question

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

Answer 1

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 2

Option C is correct

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

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