Question

part 2 - arithmetic reasoning
a woman is looking for a bigger square office. she finds an office twice the area of her current square office. if the perimeter of her current office is 88 feet, how many square feet is the new office?
a 176 sq ft
b 352 sq ft
c 968 sq ft
d 1,200 sq ft
44 minutes to go
click the button or type the letter next to your answer.

Explanation:

Step1: Find side - length of current square office

The perimeter of a square is $P = 4s$, where $s$ is the side - length. Given $P = 88$ feet, then $s=\frac{P}{4}=\frac{88}{4}=22$ feet.

Step2: Calculate area of current square office

The area of a square is $A = s^{2}$. So the area of the current office $A_{1}=22^{2}=484$ square feet.

Step3: Calculate area of new office

The new office has an area twice that of the current office. So $A_{2}=2\times A_{1}=2\times484 = 968$ square feet.

Answer:

C. 968 sq ft