Question

Tina wants to build a garden in her backyard. She knows that the area of the section of the backyard she will be using is square feet. Determine which of the following are possible dimensions of the section, in feet.

Answer 1

Answer: Option D. (x-9)(x+5)

Explanation:

Tina is having the area of backyard as
`x^(2) -4x-45` square feet.

And she wants to build a garden in her backyard.So we have to get the factors to get the possible dimensions of the garden.

`x^(2) -4x-45`=
`x^(2)-4x-45\\=x^(2)-9x+5x-45`

⇒
`x(x-9)+5(x-9)`

⇒(x-9)(x+5)

So the dimensions will be (x-9)(x+5)