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kogti [31]
4 years ago
13

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

e factoring.
Mathematics
1 answer:
Dmitrij [34]4 years ago
6 0

Answer:

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

Step-by-step 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)\\

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