Question

the length of a rectangle is more than one fourth of same number by 2. find the number is 100m ,then find the length and breadth of rectangle​

Answer 1

Answer:

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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