a woman is looking for a bigger square office. she finds an office twice the area of her square office. if the perimeter is 88ft, how many squared feet is the new office? A. 176sqft B. 352sqft C. 968sqft or D. 1,200sqft?

and is C. 968 sqft

solution:

perimeter of the old office = 88ft

as per formula of perimeter

of a square

perimeter = 4 a (a = side of a square)

now substitute the value of perimeter in this equation, we have

P = 4a

88 = 4a

a = 88/4 = 22

so side of a square = 22ft

now area of a square

A = side square (side x side)

A = 22 x 22 = 484 sqft

now as per question, area of a new office is twice the area of old office, so area of the new office is = 484 x 2 = 968sqft

Option C is the correct answer.

Step-by-step explanation:

Perimeter of current office = 88 ft

We have perimeter = 4a, where a is the side of square.

Equating

4a = 88

a = 22 sqft

Area of current office = a x a = 22 x 22 = 484 square feet.

Area of new office is twice the area of current office.

Area of new office = 2 x 484 = 968 square feet.

Option C is the correct answer.