Find the area of the square rug if its side is (8x+1) feet. Show your work.

Well, isn't that a square rug with a sassy side length of (8x+1) feet? Let's calculate the area of this fancy rug, shall we?

To find the area of a square, we simply multiply the length of one side by itself. So, the equation for the area (A) of the rug is A = side length * side length.

So, for this rug, the area (A) would be:

A = (8x+1) * (8x+1)
= (64x^2 + 16x + 8x + 1)
= 64x^2 + 24x + 1

And there you have it! The area of this lovely rug is 64x^2 + 24x + 1 square feet.

To find the area of a square, we need to square the length of one of its sides. Given that the side of the square rug is (8x + 1) feet, we can calculate the area as follows:

Area = (side)^2

Substituting in the value of the side, we have:

Area = (8x + 1)^2

Expanding the square, we get:

Area = (8x + 1)(8x + 1)
= 64x^2 + 8x + 8x + 1
= 64x^2 + 16x + 1

Therefore, the area of the square rug is 64x^2 + 16x + 1 square feet.

To find the area of a square rug, we need to square the length of one of its sides.

In this case, the length of one side is given as (8x+1) feet.

To find the area, we square the length.

(8x+1)^2 = (8x+1)(8x+1) (using the exponent rule (a+b)^2 = a^2 + 2ab + b^2)

Expanding the equation:
= 64x^2 + 16x + 16x + 1
= 64x^2 + 32x + 1

Therefore, the area of the square rug is 64x^2 + 32x + 1 square feet.

the area of a square with side s is s^2

so, ...