Question

the length of a rectangular playground is 2 meter longerbthan its breadth. if the area of the playground is 195 square meters, find the length and breadth of the field​

Answer 1

Answer:

The length of a rectangular playground is 2 m longer than its breadth. If the area of the playground is 195 m

2

, find the length and breadth of the field

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

Answer 2

Answer:

let breadth be x then

breadth =x

length=2x

area of rectangle=l x b

195=(x)(2x)

195=3x

x=195/3=65

hence,length =2x=65x2=130

breadth=65