6-8. Always do brackets first!
Remember: a^2 + b^2 = c^2
1
64 + 49 = 113
√113 = 
2
100 - 25 = 75
square root of 75 = 5
Each drawing they are just adding another row to the right so for the 7th picture, there would be 28 dots. Another explanation is that they are just adding the same number of dots for each number it is. For example, for the 5th image, they added 5 dots to the previous image and so on.
Answer:
The area of the deck after she doubles the length and width will be of 384 square feet.
Step-by-step explanation:
Area of a rectangle:
The area of a rectangle of length l and width w is given by:

Doubling length and width:
If we double the length and the width, the dimensions are 2l and 2w. Thus, the area will be of:

That is, if both dimensions are doubled, the area is multiplied by 4.
What will the area of the deck be after she doubles the length and width?
Was 96. Then, both dimensions were doubled, and the area has to be multiplied by 4.
96*4 = 384
The area of the deck after she doubles the length and width will be of 384 square feet.