Question

A manufacturer makes rectangular blankets in several styles and sizes. The outline of a popular blanket in size A is shown below (Height- 2x-3cm, Width- 3x+7cm)

A. Write a polynomial expression in simplified form, that represents the perimeter of the blanket.

Answer 1

(10x + 8) is the polynomial expression for the perimeter of the blanket.

Explanation:

The height and width of the rectangular blanket are (2x - 3) cm and (3x + 7) cm respectively.

Now, the perimeter of a rectangle having height h and width w is given by

P = 2h + 2w

⇒ P = 2(2x - 3) + 2(3x + 7)

⇒ P = 4x - 6 + 6x + 14

⇒ P = 10x + 8.

So, this is the polynomial expression for the perimeter of the blanket. (Answer)