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.

Question

Mathematics

Augustus Proctor

23 July, 19:53

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.

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Answers (2)

Know the Answer?

Jackson · Answer 1

(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.

Porter Fry · Answer 2

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)