Question

The length of a rectangular room is 6 m longer than its width. If each dimension is increased by 2 m, the area of the floor of the room increases by 64 sq m. Find the original dimensions of the room.​

Answer 1

Answer:

Solution:

Let breadth of the rectangular playground =b

Length of the rectangular playground =(b+2)

Area of rectangular playground = Length × Breadth

⇒195=(b+2)×b

⇒195=b

2

+2b

⇒b

2

+2b−195=0

⇒b

2

+15b−13b−195=0

⇒b(b+15)−13(b+15)=0

⇒(b−13)(b+15)=0

⇒b=13 or b=−15

Value b of can't be negative. So b=13

Therefore, breadth of the rectangular playground =13 m

and length of the rectangular playground =15 m