Question

A dentist's office and parking lot are on a rectangular piece of land. The area (in square meters) of the land is represented by x^2+x-30. Write a binomial that represents the width of the land.

Answer 1

Answer:

Width of the land can be represented by either (x - 5) or (x + 6).

Step-by-step explanation:

The office and parking lot are on a rectangular piece of land.

Area of a rectangular area = Length × Width

Expression for the area has been given as x² + x - 30

Now we will factorize the given expression.

x² + x - 30 = x² + 6x - 5x - 30

= x(x + 6) - 5(x + 6)

= (x - 5)(x + 6)

So the area of the rectangular lot = (x - 5)(x + 6) = Length × width

Therefore, width of the land can be represented by either (x - 5) or (x + 6)

Answer 2

Answer:

(x+6) or (x-5) can represent width of the rectangular piece of land.

Step-by-step explanation:

The trinomial is factored to (x+6)(x-5) since (x+6)(x-5) = x^2 + 6x -5x -30 = x^2+x-30.  These factors represent the length and width of the rectangle.