Question

The length of a side of a square is \sqrt(x^(2)-4) If the area of the square is 12, find x. A. 16 B. 4 C. 12 D. \sqrt(148)

Answer 1

Answer:

B. 4

Step-by-step explanation:

Let the side of the square= a

Then the area of the square= a²

Given:

• a= √x²-4 and a²=12

Then:

• a²= (√x²-4 )²= x²-4

Considering the value of the area, 12 units

• x²-4 =12
• x²=16
• x= √16
• x= ±4
• x= -4 is not considered as the length can't be negative
• x= 4 is the answer

Correct choice is B. 4

Answer 2

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