To find the area of the rectangular office space, we first need to determine its length. We know the width and the perimeter. The formula for the perimeter (P) of a rectangle is:
P = 2 * (Length + Width)
Given that the perimeter is 410 feet and the width is 72 feet, we can set up the equation as follows:
410 = 2 * (Length + 72)
Dividing both sides by 2 gives:
205 = Length + 72
Now, we can isolate Length:
Length = 205 – 72
Length = 133 feet
Now that we have both dimensions, we can find the area (A) using the formula:
A = Length * Width
A = 133 * 72
A = 9576 square feet
Therefore, the area of the rectangular office space is 9,576 square feet.