Final answer:
The area of the patio is found by multiplying the length by the width, given by I = x - 4 and w = x - 6 respectively. Substituting the given dimensions, I = 140 feet and w = 100 feet, the calculated area is 14000 square feet.
Step-by-step explanation:
To find the area of the patio, we can use the formula for the area of a rectangle, which is the length multiplied by the width. The question provides the length (I) and width (w) as expressions of x. Since we know that I = x - 4 feet and w = x - 6 feet, we plug in the actual dimensions provided: I = 140 feet and w = 100 feet. Then we calculate the area:
Area = I × w
Area = 140 ft × 100 ft
Area = 14000 square feet
Thus, the area of the patio is 14000 square feet.