Find the area in terms of y of a square rug whose sides are y + 6 units long.

All the sides of the square are y+6.

To find the area, multiply the sides together, or

(y+6)(y+6)

which multiplies out to

y^2+6y+6y+36

which you can simplify to

y^2+12y+36.

So, y^2+12y+36 is the area of the rug.

Hope this helps!