Question

A rectangular bedroom is 3 ft longer than it is wide. Its area is 238 ft2. What is the width of the room?

Answer 1

Answer:

let the width be x

length will be 3x

ATQ

area of rectangle = length × breadth

238=3x × x

238=3x^2

x^2=238/

x^2=79.3

x=√79.3

x=8.9

Answer 2

Answer:

Width of rectangular bedroom is 14 ft.

Step-by-step explanation:

Width of rectangular bedroom (b) = x

Length of rectangular bedroom (l) = x + 3

Area of rectangular bedroom = 238 ft²

Area of rectangular bedroom = l × b

⇒ (x) × (x + 3) = 238

⇒ x² + 3x = 238

⇒ x² - 3x - 238 = 0

⇒ x² - 17x + 14x - 238 = 0

⇒ x (x - 17) + 14 (x - 17) = 0

⇒ (x - 17) (x + 14) = 0

⇒ x = 14

Therefore,

Width of rectangular bedroom (b) = 14 ft.

___________________________

★ Verification :

Area of rectangular bedroom = 238 ft²

Length of rectangular bedroom (l) = x + 3

⇒ 14 + 3

⇒ 17

Length of rectangular bedroom is 17 ft.

★ Area of rectangular bedroom = 238 ft²

⇒ 238 = 14 × 17

⇒ 238 = 238