Respuesta :

Answer:

Step-by-step explanation:

Area of the rug is given by the trinomial,

r² - 2r - 35

Since, area of the rectangular rug = Length × Width

Now we will convert the given trinomial in the factored form,

r² - 2r - 35 = r² - 7r + 5r - 35

                 = r(r - 7) + 5(r - 7)

                 = (r + 5)(r - 7)

Therefore, Dimension of the rectangular rug will be (r + 5) × (r - 7)