Question

The difference in the length and breadth of rectangular playground is 12 meter. The length of the play ground is 10meter more than twice the breadth of the Playground. What is the length of the playground?​

Answer 1

Answer:

Given that:

Area of the rectangular playground =195 m

2

.

To find:

Length =?, Breadth =?

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