Answer:
D.(4x+1)
Explanation:
The area of the rectangular pool is given by
Area = length * breadth
Area = (12x×x)-17x-5
A= 12x²- 17x- 5
Factorising the quadratic equation by mid term break rule.
A= 12x²- 20x + 3x- 5
( when we multiply 12 and -5 we get -60 . We need two numbers which when added give -17 and when multiplied give -60. The two numbers would be -20 and +3. The minus has to be with the bigger number as we need - 17.)
A = 4x( 3x- 5) + 1( 3x-5)
(taking commons will evaluate it further.)
A= (3x-5) (4x+1)
so the length could either be 3x-5 or 4x+1
From the given options we have
4x+1 as the length because the rest do not match the factors obtained.