A woman is looking for a bigger square office. She finds an office twice the area of her current office. If the perimeter of her current office is 88 feet, how many square feet is the new office?

To determine the size of the new office, we first need to calculate the area of the current office based on its perimeter. The formula for the perimeter of a square is given by:

[ P = 4s ]

where ( s ) is the length of one side of the square. Given that the perimeter of the current office is 88 feet, we can find the side length:

[ 4s = 88 ]

Dividing both sides by 4 gives:

[ s = 22 \text{ feet} ]

Next, to find the area of the current office, we use the area formula for a square:

[ A = s^2 ]

Substituting the value of ( s ):

[ A = 22^2 = 484 \text{ square feet} ]

Since the woman is looking for a new office that is twice the area of her current office, we calculate the area of the new office:

[ A_{\text{new}} = 2 \times A_{\text{current}} ]

[ A_{\text{new}} = 2 \times 484 = 968 \text{ square feet} ]

Thus, the area of the new office is 968