Question

give the possible expressions for the length and breadth of the rectangle whose area is given by 24x^2-15x

Answer 1

Given: Area is given by 24x^2 - 15x

To find: The possible expressions for the length and breadth of the rectangle.

Solution:

• Now we have given the area in form of the equation with x as unknown term.

• We know the formula for area of rectangle as:

• Area of rectangle = length x breadth

• So the area given will be splitted in two parts as product such as:

• Taking x common, we get:

               24x^2 - 15x = x (24x - 15)

• Now taking 3 common, we get:

               x (24x - 15) = 3x (8x - 5)

• So we have two terms now, 3x and (8x - 5) which can be written as length or breadth.

Answer:

                So, the possible expressions for the length and breadth of the rectangle is 3x (8x - 5).