Question

Write an equation that represents the perimeter of the rectangle. The width of a rectangle is 9 less than one-third it's width, when the perimeter is 45.

Answer 1

Answer:

The equation that represents the perimeter of the rectangle is:

$\text{Perimeter} = \frac{2}{3} \times [4l-27]$

Step-by-step explanation:

The perimeter of a rectangle is given by the formula:

Perimeter = 2 × [l + w]

It is provided that the width of a rectangle is 9 less than one-third it's length.

That is:

$w = \frac{1}{3}l-9$

The perimeter is given as 45.

The equation that represents the perimeter of the rectangle is:

$\text{Perimeter} = 2 \times [l + \frac{1}{3}l-9]\\\\\text{Perimeter} = 2 \times [\frac{3l+l-27}{3}]\\\\\text{Perimeter} = 2 \times [\frac{4l-27}{3}]\\\\\text{Perimeter} = \frac{2}{3} \times [4l-27]$

Thus, the equation that represents the perimeter of the rectangle is:

$\text{Perimeter} = \frac{2}{3} \times [4l-27]$