If a rectangular office space is 72 feet wide and has a 410-foot perimeter, what is its area?

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