Question

What are the possible linear expressions for the length and breadth of a rectangle
whose area is 6x^2+x-15.

Answer 1

GIVEN:  The area of rectangle = 6x²+x-15  

TO FIND: Expression to find the length and breadth of the rectangle

STEP BY STEP EXPLANATION :

We need to factorise the given equation in order to get the expression for length and breadth.

  6x² + x - 15

  6x² + 10x - 9x - 15

 2x(3x + 5 ) - 3( 3x + 5)

(3x+5) (2x-3)

Since area of rectangle is the  product of its length and breadth.

Therefore, expression for length = 3x+5

         and, expression for breadth = 2x-3

ANSWER: expression for length = 3x+5

                  expression  for breadth = 2x - 3