# The length of a room is 3 more than its breadth :

The length of a room is 3 more than its breadth. If the area of the floor of the room is 70 m^{2}, then the perimeter of the floor will be

- 28 m
- 17 m
- 14 m
- 34 m

**Answer: (4) 34 m **

**Explanation:-**

Let the breadth of a room be X m

The length of a room is 3 more than its breadth.

Then, the length of the room = (X + 3) cm

If the area of the floor of the room = 70 cm^2

Then, X x (X + 3) = 70

X^2 + 3 X = 70

X^2 + 3 X – 70 = 0

X^2 + 10 X – 7 X – 70 = 0

X (X + 10) – 7 (X + 10) = 0

(X – 7) (X + 10) = 0

X – 7 = 0

X = 7

Thus, the breadth of the room is X = 7 m and the length of the room is X + 3 = 7 + 3

= 10 m

So, the perimeter of the room = 2 (10 + 7)

= 2 x 17

= 34 m

Hence, the correct answer is option (4) 34 m.