Question

The area of a rectangular knitted blanket is 10x squared minus 11x minus 6. What are the possible dimensions of the​ blanket? Use factoring.

Answer 1

Dimensions of rectangle are
`(5x+2)\:and\: (2x-3)\\`

Explanation:

Area of rectangular knitted blanket =
`10x^2-11x-6`

We need to find the dimensions of blanket.

If we need to find the dimensions, we need to find the factors of area.

Factoring:
`10x^2-11x-6`

We will break the middle them -11x

• Adding 4x-15x we get -11x

• Multiplying 4x and -15x we get -60x^2 (Product of -6 and 10x^2)

Now, finding factors

`10x^2-11x-6\\10x^2+4x-15x-6\\2x(5+2)-3(5x+2)\\(5x+2)(2x-3)\\`

So, factors of
`10x^2-11x-6\\` are
`(5x+2)(2x-3)\\`

So, dimensions of rectangle are
`(5x+2)\:and\: (2x-3)\\`