Question

the length of the rectangular playground is 2m larger than its breath if the area of playground is 195m square find the length and breath of field
​

Answer 1

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

Step-by-step explanation:

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

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