Answer:
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.
The area of the new office which is a bigger square as compared to the current office is 968 square feet.
Option C is the correct answer.
The area of a square is the product of its two sides. The sides of a square are equal, thus the area is equivalent to the square of one side.
The area can be written as,
[tex]A = a^2[/tex]
Where a is the side of a square.
Given that a woman is looking for a bigger square office. She finds an office twice the area of her square office.
The perimeter of the current office is 88ft.
[tex]P = 4a[/tex]
[tex]88= 4a[/tex]
[tex]a = 22[/tex]
The side of the current squared office is 22ft. Then the area of the current office is,
[tex]A = a^2[/tex]
[tex]A = 22^2[/tex]
[tex]A = 484[/tex]
The area of the new square-shaped office is calculated as given below.
[tex]A' = 2\times A[/tex]
[tex]A' = 2\times 484[/tex]
[tex]A'= 968[/tex]
Hence we can conclude that the area of the new office is 968 square feet. Option C is the correct answer.
To know more about the area, follow the link given below.
https://brainly.com/question/1658516.
