Question

natoshias den is 2 feet longer than it is wide. if the dens area is 195 square feet, what are the dimensions of the room?

the dimensions of the room are \\(\square\\) ft.
(use a comma to separate answers as needed.)

Explanation:

Step1: Define variables

Let width = $w$, length = $w + 2$

Step2: Set up area equation

Area = width × length: $w(w + 2) = 195$

Step3: Simplify equation

$w^2 + 2w - 195 = 0$

Step4: Solve quadratic equation

Factor: $(w + 15)(w - 13) = 0$ → $w = 13$ (positive)

Step5: Find length

Length = $13 + 2 = 15$

Answer:

13, 15