Find the perimeter of the polygon.

9514 1404 393

  30 in

Step-by-step explanation:

The enclosing rectangle is 4 by 10, so has a perimeter of ...

  P = 2(L+W) = 2(10+4) = 28

The notch adds 2 inches to the perimeter, so the total of all side lengths is ...

  28 +2 = 30 . . . inches

for the points

step-by-step explanation:

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