Question

A rectangle has a length of n and a width that is the length minus 1. Write an expression that could be used to find the quotient of the perimeter divided by the area.

Answer 1

4n - 2/n^2 - n

Explanation:

Measurements:

length = n

width = n - 1

Perimeter:

Let's find the perimeter using these measurements,

Double both measurements to get the perimeter and add them:

2(n) + 2(n - 1)

2n + 2n - 2

= 4n - 2 is the perimeter.

Area:

Now let's find the area using these measurements,

Multiply both measurements to get the area:

n(n - 1)

= n^2 - n is the area.

Find the quotient:

Perimeter: 4n - 2

_______

Area: n^2 - n

= 4n - 2/n^2 - n