The width of the rectangular office is 72 feet.
Let x = the length.
The perimeter (see the figure below) is
2x + 2(72) = 2x + 144
Because the perimeter is 410 feet, therefore
2x + 144 = 410
2x = 410 - 144 = 266
x = 266/2 = 133
The area is
72x = 72*133 = 9576 ft²
Answer: 9576 ft²
