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John creates a painting on a rectangular canvas with a width that is two inches longer than the height, as shown in the diagram below.

(It is a rectangle with h+2 on the bottom and h on the side)

AWrite a polynomial expression, in simplified form, that represents the area of the canvas. (1 point)
BJohn adds a 3-inch-wide frame around all sides of his canvas. Write a polynomial expression, in simplified form, that represents the total area of the canvas and the frame. (1 point

Verified Answer :

Hagrid

Given:

h = height of the rectangular canvas
h + 2 = width of the rectangular canvas

The polynomial expression that represents the area of the canvas:

A = height x width
   = h (h+2)
A = h^2 + 2h

If John adds a 3-inch-wide frame around all sides of his canvas, the new height and width are:

h + (32) = h + 6 = height
h + 2 + 6 = h + 8 = width

Anew = (h +6) (h +8) 
           = h^2 +14h +48

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