The width, w, of a rectangle garden is x - 2. The area of the garden is x^3 - 2x - 4. What is an expression for the length of the garden? a. x^2 -2x - 2 b. x^2 + 2x - 2 c. x^2 - 2x + 2 d. x^2 + 2x + 2

Mathematics · High School · Wed Jan 13 2021

Answered on

Given:

Area of rectangular garden = x^3 - 2x - 4.

Width = x - 2

Length = ?

Area of rectangle = Length × width 

Putting values, we get

x^3 - 2x - 4 = Length × (x -2)

Length = x^3 - 2x - 4/x-2

Length =  x^2 + 2x + 2

 

Hence, option (d) is correct.