Answer:
To find the area of a rectangle, we need to multiply its length by its width. In this case, the length is 2x + 7 and the width is 2x - 7.
Using the distributive property, we can simplify the expression for the area:
Area = (2x + 7) × (2x - 7)
To multiply these binomials, we can use the FOIL method:
Area = 2x × 2x + 2x × (-7) + 7 × 2x + 7 × (-7)
Simplifying further:
Area = 4x^2 - 14x + 14x - 49
The -14x and +14x terms cancel each other out:
Area = 4x^2 - 49
Therefore, the simplified expression for the area of the rectangle is 4x^2 - 49.
Explanation: