Question

Find the length and breadth of a rectangle in which the area is x2+5x+6

Answer 1

Given,

area of a rectangle = x²+5x+6

To Find,

the length and breadth of that rectangle.

Solution,

finding the zeros of the Area of rectangle by middle term splitting,

Let, p(x) = Area of a rectangle = x²+5x+6

=> p(x) = x²+5x+6

=> p(x) = x²+3x+2x+6

=> p(x) = x(x+3)+2(x+3)

=> p(x) = (x+3)(x+2)

Therefore, the length of the rectangle=x+3

and the breadth of the rectangle= x+2

Hope it helps !!

Answer 2

Answer:

+5x+6

=x

2

+2x+3x+6

=x(x+2)(x+3)

=(x+2)(x+3)

Possible length and breath are x+3andx+2