Question

: The lengths of rectangular play ground is 3/2 times its breadth. If the area of the play ground is 39853.5 sq. m., find its length and breadth.​

Answer 1

Answer:

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Step-by-step explanation:

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