Question

Harry created a canvas painting on a square canvas. He then placed an order for a new rectangular canvas. The side length of the old square canvas is x inches. The new canvas he ordered has the same length, but a width 8 inches greater than that of the old canvas. the area of the new canvas is given by the quadratic expression below, where x represent the side length in inches of the old canvas.
x(x+8)
match each expression to the description it models.

Answer 1

Answer:

1.x^2

2.x+8

3.x

4. 8x

Step-by-step explanation:

Length of old is x inches.

Because it is square we have that area of the old canvas : $x^2$

When we read : width of new is increased by 8 so : x+8

Length is x.

The difference of areas:

Old canvas : A1=$x^2$

New canvas : $A2=x(x+8)=x^2+8x$

Now we can find A2-A1:

$x^2+8x-x^2=8x$