the area of a rectangular feild is 2376m ² if the length of the is 54m find out the perimeter
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Let the length and breadth of rectangular field is x and y respt.
Then area =xy=150.................(1)
And perimeter of rectangular field =2x+2y=50
Or x+y=25--------------------------------------(2)
Or x=25-y Put in (1)
So y(25-y)=150
25y−y
2
=150⇒y
2
−25y+150=0⇒y
2
−15y−10y+150=0⇒y(y−15)−10(y−15)=0⇒(y−10)(y−15)
So y=10 or y=15
Or x=25-15=10 or x=25-10=15
Then its dimensions are 10 ,15
Step-by-step explanation:
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