Lee's uncle is installing a new pool in his backyard. The pool is a square and has an area of 121ft^2. He decides to build a 4 ft wide deck to surround the pool. What is the outside perimeter of the deck? The small square is the pool and the deck is the big square

76 feet

Step-by-step explanation:

Given: The pool is a square and has an area of .

We know that , area = side²

⇒ side= √area

⇒ side= √121=11 feet

Width of deck  =4 feet

Length of deck around pool = 11+4+4 = 19 feet

Outside perimeter of deck = 4 (19) = 76 feet [since perimeter of square = 4 (side)]

Hence, Outside perimeter of deck = 76 feet

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.