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Given :-
- Area of a rectangle = 4x²+8x-5
To Find :-
- Perimetre of the rectangle.
Solving :-
let length be a and breadth be b :-
⟹ Area (rectangle) = 4x²+8x-5
✒ length×breadth = 4x²+8x-5
✒ a×b = 4x²+8x-5
✒ a×b = 4x²+10x-2x-5
✒ a×b = 2x(2x+5)-1(2x+5)
✒ a×b = (2x+5)(2x-1)
Therefore :-
⟹ Length = a = (2x+5)
⟹ Breadth = b = (2x-1)
Now,
⟹ Perimeter (rectangle) = 2(a+b)
✒ Perimetre = 2(2x+5+2x-1)
✒ Perimetre = 2(4x+4)
✒ Perimetre = 8x+8
Answer :-
Option (d) 8x+8 ✅
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