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

9576 ft²

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