Mrs. Martinez is planning a garden that will be rectangular in shape. Mrs. Martinez wants to put a fence around the garden.
Mrs. Martinez has twenty feet of fencing to put around the garden.
Mrs. Martinez will only use whole feet of fencing for each side of the garden.
What are all the possible ways Mrs. Martinez can plan the fence around the
garden?
Which plan gives Mrs. Martinez the most space for the garden? Show all of
your mathematical thinking.

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752