Answer:
D. 32, 8, 256
Step-by-step explanation:
You want to get the same base numbers so you can add exponents
sqrt(2)^(4x+1) = 2^(2x+1/2)
16^x = 2^4x
4^(8x-6) = 2^(16x-12)
Now you can drop the bases and do the following equation
2x+1/2 + 4x = 16x-12
Solve for x, which is 1.25
Plug 1.25 back into the original numbers and you get the answers for the dimensions and area.
