Question

The side length of a square is represented by the expression n - 1.5. Which are equivalent expressions for the perimeter of the square?

A.n + n + n + n - 1.5 - 1.5 - 1.5 - 1.5
B.2(n - 1.5) + 2(n - 1.5)
C.2n - 1.5
D.4n - 1.5
E.2(n - 1.5)
F.4(n - 1.5)

Answer 1

BFinal answer:

The equivalent expressions for the perimeter of the square with side length n - 1.5 are 4(n - 1.5) and n + n + n + n - 1.5 - 1.5 - 1.5 - 1.5, which simplify to 4n - 6.

Step-by-step explanation:

If the side length of a square is represented by n - 1.5, then the perimeter of the square is calculated by adding up all four sides. Since all sides of a square are equal, we simply multiply the side length by 4 to find the perimeter:

4(n - 1.5)

This represents adding the length of one side (n - 1.5) four times, equivalent to:

n + n + n + n - 1.5 - 1.5 - 1.5 - 1.5

By combining like terms and simplifying, we get:

4n - 6

Therefore, the equivalent expressions for the perimeter of the square are:

• 4(n - 1.5) (Option F)
• n + n + n + n - 1.5 - 1.5 - 1.5 - 1.5 (Option A)

Options B, C, D, and E are not equivalent expressions for the perimeter of the square.