Question

The area of a rectangle is represented by the polynomial x^2+3x-6x-18. What are the length, width, and area of the rectangle if x=12?

Answer 1

Answer:

Length = 15

Width = 6

Area = 90

Step-by-step explanation:

Area of the rectangle = ${x}^{2} + 3x - 6x - 18$

Lets factorise the polynomial

$= > x(x + 3) - 6(x + 3)$

$= > (x + 3)(x - 6)$

We know that Area = Length × Width

Let the length be (x + 3) & width be (x - 6)

Its given in the question that x = 12. So putting the value of x gives ,

Length = $x + 3 = 12 + 3 = 15$

Width = $x - 6 = 12 - 6 = 6$

Area = Length × Width = 15 × 6 = 90