# Find a polynomial function or equation that represents the perimeter of a rectangle

Find a polynomial function or equation that represents the perimeter of a rectangle that has a length of 2x - 3 and a width of x + 2.

Number:

The perimeter of a rectangle is expressed by the formula P = 2L + 2W where P is the perimeter, L is the length and W is the width.

Given the length 2x - 3 and width x + 2, the perimeter then is:

P = 2L + 2W

P = 2(2x - 3) + 2(x + 2)

P = 4x - 6 + 2x + 4

Combining like terms and simplifying:

P = 4x + 2x - 6 + 4

P = 6x - 2

Therefore, the polynomial function or equation that represents the perimeter of a rectangle is:

P(x) = 6x - 2

## The perimeter of a rectangle

The perimeter of a rectangle is expressed by the formula P = 2L + 2W where P is the perimeter, L is the length and W is the width.

Given the length 2x - 3 and width x + 2, the perimeter then is:

P = 2L + 2W

P = 2(2x - 3) + 2(x + 2)

P = 4x - 6 + 2x + 4

Combining like terms and simplifying:

P = 4x + 2x - 6 + 4

P = 6x - 2

Therefore, the polynomial function or equation that represents the perimeter of a rectangle is:

P(x) = 6x - 2

JMa beer!