The length of a rectangular flag is (4x+6) feet and the width is (4x-6) feet. Find the area of the flag.

(4x+6)(4x-6) = 16x^2-36

The area is 16

The area is 16 because 4x+6=16

To find the area of a rectangular flag, we multiply its length by its width. In this case, the length is (4x+6) feet and the width is (4x-6) feet.

Area = Length x Width

Substituting the values:

Area = (4x+6) * (4x-6)

To multiply these binomials, we can use the FOIL method, which stands for First, Outer, Inner, Last.

First: (4x) * (4x) = 16x^2
Outer: (4x) * (-6) = -24x
Inner: (6) * (4x) = 24x
Last: (6) * (-6) = -36

Now, let's combine like terms:

Area = 16x^2 - 24x + 24x - 36

Since the middle terms (-24x and +24x) cancel each other out, we are left with:

Area = 16x^2 - 36

Therefore, the area of the flag is 16x^2 - 36 square feet.