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.