Question

give possible expression for the length and breadth of the rectangle in which their area is 25a^2+35a-12

Answer 1

Let the dimensions of the rectangle are
Length =l
Breadth = b
Given area = 25a^2 +35a-12
l*b= 25a^2 -20a-15a-12

=5a(5a-4)-3(5a-4)
=(5a-4)(5a-3)
Therefore
l=5a-4, b=5a-3 units
Or
l=(5a-3) units, b=(5a-4) units

Answer 2

Given Area:

25a²-35a+12

To Find :

Length and Breadth

Solution :

Factorising 25a²-35a+12

[By mid term spilting]

25a²-20a-15a+12

5a(5a-4)-3(5a-4)

(5a-4)(5a-3)

Length = 5a-4

Breadth = 5a-3