Josephine has a rectangular garden with an area of 2x2 + x – 6 square feet. which expressions can represent the length and width of the garden? length = x2 – 3 feet; width = 2 feet length = 2x + 3 feet; width = x – 2 feet length = 2x + 2 feet; width = x – 3 feet length = 2x – 3 feet; width = x + 2 feet

feet length = 2x – 3 feet; width = x + 2 feet

Step-by-step explanation:

we have

The area of a rectangular garden in square feet is

Remember that

The area of a rectangular garden is

where

L is the length and W is the width

Convert the equation in factored form

Factor the leading coefficient

Complete the square

Rewrite as perfect square

square root both sides

so

therefore

feet length = 2x – 3 feet; width = x + 2 feet